Exploratory Research Project
PNIIIP4IDPCE20160190
Contract:
96/12.07.2017, financed by UEFISCDI – Romanian
Executive Agency for Higher Education, Research, Development and Innovation
Project duration: 30 months (12/07/2017 – 31/12/2019)
Project title: Equilibrium and optimization problems:
theoretical and computational approaches
Project manager: Professor Gábor KASSAY, Ph.D.
BabeşBolyai University, ClujNapoca
Faculty of Mathematics and
Computer Science
Department of Mathematics
1, Kogălniceanu Street
400084 ClujNapoca, Romania

Prof. Gábor KASSAY, Ph.D. – project leader Email: kassay
[ at ] math
[ dot ] ubbcluj
[ dot ] ro URL: http://math.ubbcluj.ro/~kassay/ 

Prof. Nicolae POPOVICI, Ph.D. habil. Email: popovici
[ at ] math
[ dot ] ubbcluj
[ dot ] ro URL: http://math.ubbcluj.ro/~popovici/ 

Assoc. prof. Cornel Sebastian PINTEA, Ph.D. Email: cpintea
[ at ] math [ dot ] ubbcluj [ dot ] ro URL: http://math.ubbcluj.ro/~cpintea/ 

Assoc. prof. Szilárd Csaba LÁSZLÓ, Ph.D. habil. Email: laszlosziszi
[ at ] yahoo [ dot ] com URL: https://sites.google.com/site/laszloszilardcsaba/ 

Assoc. prof.
Zsolt DARVAY, Ph.D. Email: darvay
[ at ] cs [ dot ] ubbcluj [ dot ] ro URL: http://www.cs.ubbcluj.ro/~darvay 

Lecturer prof. Anca GRAD, Ph.D. Email:
ancagrad [ at ] math [ dot ] ubbcluj
[ dot ] ro URL: http://math.ubbcluj.ro/~ancagrad 

Lecturer prof. Livia Mihaela BERCHEŞAN (MIHOLCA), Ph.D. Email: Livia [ dot ] Berchesan [ at ] math [
dot ] utcluj [ dot ] ro URL: http://www.math.utcluj.ro/Matematica_utcluj_20172018b.htm 

Corina
BLIDAR, Ph.D. student Email: corina [ dot ] blidar [ at ]
math [ dot ] ubbcluj [ dot ] ro URL: http://www.cs.ubbcluj.ro/desprefacultate/structura/departamentuldematematica/ 

PetraRenáta RIGÓ (TAKÁCS), Ph.D. student Email:
takacs [ dot ] petra [ at
] math [ dot ] ubbcluj [ dot ] ro URL: http://www.cs.ubbcluj.ro/departamentuldematematicasiinformaticaallinieimaghiare/, https://det.math.bme.hu/node/1367 
Project summary and objectives
The project is mainly
motivated by the growing interest in the literature regarding sensitivity,
openness/metric regularity, variational principles, and practical applications
concerning equilibrium and optimization problems, interest which clearly shows
that these fields are appropriate for applying the modern tools of nonlinear
analysis. The aim of the seven objectives of the project is to bring
to light new concepts and approaches within the following specific
topics: parametric equilibrium problems, variational principles for equilibrium
problems, vector optimization problems in connection with differential
inclusions, duality and optimality conditions for setvalued optimization,
numerical methods for equilibrium problems, interiorpoint methods for scalar
optimization problems, algorithms for image processing, optimal location, and
traffic flow optimization. The specific objectives of our project are:
O1.
Parametric equilibrium problems;
O2.
Variational principles for
vector equilibrium problems;
O3.
Vector optimization problems
in connection with differential inclusions;
O4.
Duality and optimality
conditions for setvalued optimization;
O5.
Numerical methods for
equilibrium problems;
O6.
Interiorpoint methods for
scalar optimization problems;
O7.
Algorithms for image processing
and optimal location;
Period 
Books 
Papers
published/accepted in WOSindexed journals 
Papers published/accepted
in journals/volumes indexed in international databases 
Papers under
review 
Total 
12/07/2017  31/12/2017 

12 [items P1 P12 in the list below] 
12 

01/01/2018  31/12/2018 
1
[item P15 in the list below] 
12 [items P13, P14 and P16P25 in
the list below] 
13 

01/01/2019  31/12/2019 
7 [items P26, P27P29 and P32P34 in the list below] 
4 [items P30, P31, P35 and P37 in the list below] 
1
[item P36 in the list below] 
12 

Total 
1 
31
(sum of impact factors: 41,001) 
4 
1 
37 
P1.
César Gutiérrez, Gábor Kassay, Vicente Novo, JuanLuis
RódenasPedregosa: Ekeland variational
principles in vector equilibrium problem, SIAM Journal on Optimization,
27 (2017) (4), 24052425, DOI 10.1137/17M111883X [JCR Science Edition 2018 IF: 2.876]
P2.
Zsolt Darvay, PetraRenáta Takács: New method for determining search directions for interiorpoint
algorithms in linear optimization, Optimization Letters, 12 (2018) (5),
10991116, DOI
10.1007/s1159001711714 [JCR Science Edition 2018 IF: 1.399]
P3.
Monica Bianchi, Gábor Kassay, Rita Pini: On a suffcient condition
for weak sharp effciency in multiobjective
optimization, Journal of Optimization Theory and Applications, 178
(2018) (1), 7893, DOI:
10.1007/s1095701813074 [JCR Science Edition 2018 IF: 1.600]
P4.
Gábor Kassay, Trinh Ngoc Hai, Nguyen The Vinh: Coupling
Popov’s algorithm with subgradient extragradient
method for solving equilibrium problems, Journal of Nonlinear and Convex Analysis, 19 (2018) (6), 959986, http://www.ybook.co.jp/online2/jncav196.html [JCR Science Edition 2018 IF: 0.595]
P5.
Suliman AlHomidan, Qamrul Hasan Ansari, Gábor Kassay: On sensitivity of vector equilibria by means
of the diagonal subdifferential operator, Journal of Nonlinear and
Convex Analysis, 20 (2019) (3), 527537
[JCR Science Edition 2018 IF: 0.595]
P6.
Kazuki Seto, Daishi Kuroiwa, Nicolae Popovici: A systematization of convexity and quasiconvexity concepts for
setvalued maps, defined by ltype and utype preorder relations, Optimization, 67
(2018) (7), 10771094, DOI: 10.1080/02331934.2018.1454920 [JCR
Science Edition 2018 IF: 1.206], available here
P7.
Christian Günther, Nicolae Popovici: New algorithms for discrete vector
optimization based on the GraefYounes method and
conemonotone sorting functions, Optimization, 67 (2018) (7), 9751003, DOI:
10.1080/02331934.2018.1474469 [JCR
Science Edition 2018 IF: 1.206] a limited number of free
eprints available here
P8.
Ovidiu Bagdasar, Nicolae Popovici: Unifying localglobal type
properties in vector optimization, Journal of Global Optimization, 72 (2018) (2), 155–179, DOI: 10.1007/s1089801806568
[JCR Science Edition 2018 IF: 1.631], available here.
P9.
Cornel Pintea: Convex decompositions of convex open sets with polytopes or finite sets
removed, Journal of Convex Analysis, 26 (2019) (2), 687698, http://www.heldermann.de/JCA/JCA26/JCA262/jca26036.htm [JCR Science Edition 2018 IF: 0.794]
P10.
RaduIoan Boţ, Robert Ernö Cetnek, Szilárd Csaba László:
Approaching nonsmooth nonconvex minimization
through second order proximalgradient dynamical systems, Journal of
Evolution Equations, 18 (2018) (3), 12911318,
DOI:
10.1007/s0002801804417 [JCR Science Edition 2018 IF: 1.181], Open Access.
P11.
PetraRenáta Takács, Zsolt Darvay: A primaldual interiorpoint algorithm for symmetric optimization based
on a new method for finding search directions, Optimization, 67
(2018) (6), 889905, DOI:
10.1080/02331934.2018.1432610 [JCR Science Edition 2018 IF: 1.206], a limited number of free
eprints available here
P12.
Livia Mihaela
Bercheṣan (Miholca): Cyclically antimonotone vector equilibrium problems, Optimization, 67 (2018) (12), 21912204, DOI: 10.1080/02331934.2018.1523405
[JCR Science Edition 2018 IF: 1.206]
P13.
Zsolt Darvay, PetraRenáta Takács: Largestep interiorpoint algorithm for
linear optimization based on a new wide neighbourhood, Central European
Journal of Operations Research, 26 (2018) (3), 551563, DOI: 10.1007/s1010001805240
[JCR Science Edition 2018 IF: 1.260],
free online access available here
P14.
PetraRenáta Rigó, Zsolt Darvay: Infeasible interiorpoint method for symmetric optimization using a
positiveasymptotic barrier, Computational Optimization and Applications,
71 (2018) (2), 483508, DOI:
10.1007/s1058901800124 [JCR Science Edition 2018 IF: 1.906],
free online access available here
P15.
Gábor Kassay, Vicenṭiu Rădulescu:
Equilibrium Problems and
Applications, Academic
Press, ISBN: 9780128110294, 400 pages, https://www.elsevier.com/books/equilibriumproblemsandapplications/kassay/9780128110294
P16.
Adela Capătă, Gábor Kassay, Suliman AlHomidan: Existence results for strong vector
equilibrium problems with applications, Journal of Nonlinear and Convex
Analysis, 19 (2018) (7), 11631179, available (viewonly) here [JCR Science Edition 2018 IF: 0.595]
P17.
Zsolt Darvay, Petra Renáta Rigó: New interiorpoint algorithm for symmetric optimization
based on a positiveasymptotic barrier function, Numerical Functional
Analysis and Optimization, 39 (2018) (15), 17051726, DOI: 10.1080/01630563.2018.1492938
[JCR Science Edition 2018 IF: 0.822], a limited number of free eprints available here
P18.
Ovidiu Bagdasar, Stuart Berry, Sam O’Neill, Nicolae Popovici, Ramachandran Raja: Traffic assignment: Methods and simulations for an alternative
formulation of the fixed demand problem, Mathematics and Computers in Simulation,
155 (2019), 360–373, DOI:
10.1016/j.matcom.2018.08.004 [JCR Science Edition 2018 IF: 1.409], free online acces available here
P19.
Soodabeh Asadi, Hossein Mansouri, Zsolt Darvay, Goran Lesaja,
Maryam Zangiabadi: A longstep feasible
predictorcorrector interiorpoint algorithm for symmetric cone optimization,
Optimization Methods and Software, 34 (2019) (2), 336362, DOI:10.1080/10556788.2018.1528248
[JCR Science Edition 2018 IF: 1.206], a limited number of free eprints available here
P20.
Soodabeh Asadi, Hossein Mansouri, Zsolt Darvay, Maryam Zangiabadi,
Nezam MahdaviAmiri: LargeNeighborhood
infeasible predictorcorrector algorithm for horizontal linear complementarity
problems over Cartesian product of symmetric cones, Journal of
Optimization Theory and Applications, 180 (2019) (3), 811829, DOI:
10.1007/s1095701814026 [JCR Science Edition 2018 IF: 1.600], free online access available
here
P21.
Luminita
Barbu, Gheorghe Morosanu,
Cornel Pintea: A nonlinear elliptic
eigenvalue–transmission problem with Neumann boundary condition, Annali
di Matematica Pura ed Applicata, 198 (2019) (3), 821–836, DOI: 10.1007/s1023101808015 [JCR Science Edition 2018 IF: 1.268]
P22.
Livia Mihaela
Bercheṣan (Miholca): A
generalized Ekeland’s variational principle for
vector equilibria, Studia Universitatis BabesBolyai Mathematica,
64
(2019) (4), 581–592, DOI:
10.24193/subbmath.2019.4.11
P23.
Szilárd Csaba László: Convergence
rates for an inertial algorithm of gradient type associated to a smooth
nonconvex minimization, Mathematical Programming, Published online: 01 July 2020, DOI: 10.1007/s1010702001534w
[JCR Science Edition 2018 IF: 2.823]
P24.
Suliman AlHomidan, Qamrul Hasan Ansari,Gábor Kassay: Vectorial form of Ekeland’s Variational
Principle with applications to vector equilibrium problems, Optimization,
69 (2020) (3), 415436, DOI: 10.1080/02331934.2019.1589469
[JCR Science Edition 2018 IF: 1.206]
P25.
Suliman AlHomidan, Qamrul Hasan Ansari,Gábor Kassay: Takahashi's minimization theorem
and some related results in quasimetric spaces, Journal of Fixed Point Theory and Applications, (2019) 21: 38, DOI: 10.1007/s1178401906760 [JCR Science Edition 2018 IF: 1.253], available (viewonly) here
P26.
Zsolt Darvay, Tibor Illés, Behrouz
Kheirfam, Petra Renáta Rigó: A correctorpredictor
interiorpoint method with new search direction for linear optimization, Central
European Journal of Operations Research, First Online 15 May 2019, DOI: 10.1007/s10100019006223,
[JCR IF 2018: 1.260]. available at https://link.springer.com/article/10.1007%2Fs10100019006223
P27.
Ouayl Chadli, Gábor Kassay, Asma Saidi: On the existence of antiperiodic solutions
for hemivariational inequalities: an equilibrium problem approach, Optimization Letters, Published Online 15 October 2019, DOI: 10.1007/s11590019014901 ,
[JCR IF 2018: 1.399].
P28.
Ovidiu Bagdasar, Stuart Berry, Nicolae Popovici: Traffic assignment: On the interplay between optimisation and
equilibrium problems, Optimization, Special issue dedicated to
Professor Boris Mordukhovich on the occasion of his 70th birthday, 69 (2020)
(78), 17731790, [JCR
Science Edition 2018 IF: 1.206] , a limited number of free
eprints available here
P29.
Christian Günther, Nicolae Popovici: Characterizations of explicitly quasiconvex vector functions w.r.t.
polyhedral cones, Journal of
Nonlinear and Convex Analysis, Special
Issue in Memory of Professor Siegfried Schaible, 20 (2019) (12),
26532665, [JCR Science Edition 2018 IF: 0.595]
P30.
Elisabeth Köbis, Christian Günther, Nicolae Popovici: Computing minimal elements of finite
families of sets w.r.t. preorder relations in set optimization, Journal of Applied and Numerical Optimization, Special issue dedicated to Boris Polyak, 1 (2019) (2), 131144, DOI:
10.23952/jano.1.2019.2.04, free online acces available here
P31.
Christian Günther, Nicolae Popovici: The role of nonlinear scalarization functions in characterizing
generalized convex vector functions,
Journal of Applied and
Numerical Optimization, Special
Issue Dedicated to Christiane Tammer, 1 (2019) (3), 325333, DOI:
10.23952/jano.1.2019.3.09, free online acces available here.
P32.
Monica Bianchi, Gábor Kassay, Rita Pini: Regularization of Brézis
pseudomonotone variational inequalities, SetValued and Variational Analysis, Published online: 02
June 2020, DOI: 10.1007/s10107020015617, [JCR
IF 2018: 1.476]
P33.
Juan Enrique MartínezLegaz, Cornel Pintea: Closed convex sets with an open
or closed Gauss range, Mathematical Programming, Published online: 08 September 2020, DOI: 10.1007/s1010702001534w
[JCR Science Edition 2018 IF: 2.823]
P34. Zsolt Darvay, Behrouz Kheirfam, Petra Renáta Rigó: A
new wide neighborhood primaldual secondorder corrector algorithm for linear
optimization, Optimization Letters, First Online 24 August 2019, DOI:
10.1007/s1159001901468z, [JCR IF 2018: 1.399]
P35.
Zsolt Darvay, Petra Renáta Rigó, Eszter Szénási: Infeasible
interiorpoint algorithm for linear optimization based on a new search
direction. In L. Zadnik Stirn, M. Kljajic Borstnar, J. Zerovnic, S. Drobne,
J. Povh (eds.), Proceedings of the 15th International Symposium on Operational
Research SOR'19, Bled, Slovenia, September 2527, pp. 475480, 2019.
P36. Suliman AlHomidan, Qamrul
Hasan Ansari,Gábor Kassay: Bregman type regularization of variational inequalities with Mosco
approximation of the constraint set, under review
P37.
Elisabeth Köbis, Christian Günther, Nicolae Popovici: On strictly minimal elements w.r.t. preorder relations in setvalued optimization, Applied SetValued Analysis and Optimization, Special Issue Dedicated
to Alfred Göpfert, 1 (2019) (3), 205219, DOI:
10.23952/asvao.1.2019.3.02, free online acces
available here
Period 
Plenary
invited talks and/or session chair
at international conferences/workshops 
Contributed talks
at international conferences/workshops 
Invited talks
at research seminars abroad 
Talks at
national conferences and research seminars in Romania 
Total 
12/07/2017  31/12/2017 
3
[CS6, CS13 and CS16 in the list below] 
3 [CS1, CS2 and CS7 in the list below] 
5
[CS3, CS5,
CS9, CS10 and CS14 in the list below] 
5
[CS4, CS8,
CS11, CS12 and CS15 in the list below] 
16 
01/01/2018  31/12/2018 
2
[CS17 and CS29 in the list below] 
13 [CS20, CS24CS27, CS30CS34, CS37 and CS40 in the list below] 
1
[CS35 in
the list below] 
11
[CS18,
CS19, CS21CS23, CS28, CS38, CS39 and CS41CS43 in the list below] 
27 
01/01/2019  31/12/2019 
3
[CS58, CS68 and CS69 in the list below] 
14
[CS4548, CS57, CS59, CS61, CS62, CS64CS67, CS70
and CS72 in the list below] 
5
[CS49 CS53 and in the list below] 
10
[CS44, CS54CS56, CS60, CS63, CS71 and CS73CS75
in the list below] 
32 
Total 
8 
30 
11 
26 
75 
CS1. Szilárd Csaba László: Second order dynamical systems with
penalty terms associated to monotone inclusions, GPCO 2017 7th
GermanPolish Conference on Optimization, Będlewo,
Poland, Augut 27 – September 1, 2017, https://www.impan.pl/konferencje/bcc/2017/17gpco/preliminary_program_18_08_2017ms_4.pdf
CS2. Cornel Pintea: Generalized monotone operators on finite
dimensional spaces. Applications, XΙI International Symposium on
Generalized Convexity and Monotonicity, Hajdúszoboszló,
Hungary, August 27  September 2, 2017, http://gcm.up.krakow.pl/
CS3. Nicolae Popovici:
Localglobal type properties for generalized convex vector functions, Oberseminar Optimierung, Martin
Luther University of Halle, Germany, September 7, 2017, http://optimierung.mathematik.unihalle.de/veranstaltungen/oberseminaroptimierung/
.
CS4. Anca Grad:
Monotone inclusions through inertial algorithms, 6th International
Conference on Mathematics and Informatics, Târgu Mureş, România, September
7–9, 2017, http://mitis.ro/mathinfo/2017/
CS5. Zsolt Darvay: Interiorpoint
algorithms from the perspective of neighborhoods and directions, Research
Seminar, Department of Differential Equations, Budapest University of Technology
and Economics, Budapest, Hungary, September 21, 2017.
CS6. Nicolae Popovici (chair
of contributed talks
session Vectorvalued optimization and related issues):
Localglobal type properties
for generalized convex vector functions, 18th
French – German – Italian Conference
on Optimization, Paderborn, Germany, September 25  28, 2017, https://math.unipaderborn.de/ag/mathematikundihreanwendungen/fgi2017/programme/contributedtalksontuesday/
CS7. Petra
Renáta Rigó, Zsolt Darvay, Tibor
Illés: Infeasible interiorpoint algorithms for
linear optimization problems, The 14th International Symposium on
Operations Research in Slovenia  SOR'17, Bled, Slovenia, September 2729,
2017, http://sor17.fov.unimb.si/
CS8. Nicolae Popovici:
Unifying localglobal type
properties in vector optimization, Seminar of the Research Group on Analysis and
Optimization, BabeşBolyai University,
ClujNapoca, Romania, October 5, 2017, http://www.cs.ubbcluj.ro/~grupanopt/.
CS9. Gábor Kassay: Existence results for vector equilibrium problems given by a sum of two
functions, Research Seminar, Department
of Applied Mathematics, University of Granada, Spain, October 25, 2017.
CS10. Gábor Kassay: Stability of equilibria via regularity of the diagonal subdifferential
operators, Research Seminar, Department
of Applied Mathematics, University of Granada, Spain, October 27, 2017.
CS11. PetraRenáta Takács, Zsolt Darvay: New algebraic transformation
for determination of interiorpoint method for linear programming,
8th Mathematics and Computer Science with Applications Conference, ClujNapoca,
Romania, November 35, 2017, http://www.cs.ubbcluj.ro/~darvay/eme/mtne2017/.
CS12. Livia Mihaela Bercheşan: Cyclically
antimonotone vector equilibrium problems, Seminar of the Research Group on Analysis and
Optimization, BabeşBolyai University,
ClujNapoca, Romania, November 9, 2017, http://www.cs.ubbcluj.ro/~grupanopt/.
CS13. Gábor Kassay (guest of honor and plenary speaker): On a suffcient condition for
weak sharp effciency in multiobjective optimization, International Conference
on Analysis and its Applications, Aligarh Muslim University, Aligarh, India,
Novermber 20  22, 2017, https://icaa2017.com/, https://icaa2017.com/plenaryspeakers
CS14. Nicolae Popovici: New
algorithms for solving discrete vector optimization problems, Research
Seminar, Department of Electronics, Computing & Mathematics, University of
Derby, UK, November 22, 2017
CS15. Gábor Kassay: On a sufficient condition for
weak sharp efficiency in multiobjective optimization, Seminar of the Research Group on Analysis and Optimization, BabeşBolyai University, ClujNapoca, Romania, October
5, 2017, http://www.cs.ubbcluj.ro/~grupanopt/
CS16. Gábor Kassay (organizer of
the special session Equlibrium and vector optimization problems): Coupling Popov’s algorithm with
subgradient extragradient method for solving equilibrium problems, 4th Conference on
Optimization Methods and Software, Havana, Cuba, December 1620, 2017,.http://wiasberlin.de/workshops/oms2017/
CS17. Gábor Kassay (invited
plenary speaker): Equilibrium problems: are they of fixed point or HahnBanach type?, The 7th International Workshop on
Fixed Point Theory & Applications, Dhahran, Saudi Arabia, January
0304, 2018.
CS18. Szilárd Csaba László:
A second order dynamical system
with variable damping associated to a nonconvex minimization, Seminar of the Research Group on Analysis and
Optimization, BabeşBolyai University,
ClujNapoca, Romania, March 1, 2018, http://www.cs.ubbcluj.ro/~grupanopt/.
CS19. Cornel Pintea:
Characterizations of some
properties of the closed convex sets through their Gauss range, Seminar of the Research Group on Analysis and
Optimization, BabeşBolyai University,
ClujNapoca, Romania, March 8, 2018, http://www.cs.ubbcluj.ro/~grupanopt/.
CS20. Szilárd Csaba László:
Approaching nonsmooth nonconvex minimization
through second order proximalgradient dynamical systems, Games, Dynamics
& Optimization (GDO2018), Vienna, Austria, March 13–15, 2018, https://mathematik.univie.ac.at/fileadmin/user_upload/f_mathematik/Vortraege/2017_18/Poster6.pdf
CS21. Petra Renáta
Rigó: Interiorpoint methods for
linear complementarity problems, Seminar of the Research Group on Analysis and
Optimization, BabeşBolyai University, ClujNapoca,
Romania, March 15, 2018, http://www.cs.ubbcluj.ro/~grupanopt/.
CS22. Anca Grad:
A penalty scheme with a
backward step and inertial effects, Seminar of the Research Group on Analysis and
Optimization, BabeşBolyai University,
ClujNapoca, Romania, March 22, 2018, http://www.cs.ubbcluj.ro/~grupanopt/.
CS23. Nicolae Popovici:
A systematization of convexity
and quasiconvexity concepts for setvalued maps, defined by ltype and utype
preorder relations, Seminar of the Research Group on Analysis and Optimization, BabeşBolyai University, ClujNapoca, Romania, March
29, 2018, http://www.cs.ubbcluj.ro/~grupanopt/.
CS24. Gábor Kassay (member of the Scientific Committee): On a sufficient condition for weak sharp efficiency in multiobjective
optimization, First Romanian Itinerant Seminar on Mathematical
Analysis and its Applications (RISMAA), ClujNapoca, Romania, April 2021,
2018, http://www.cs.ubbcluj.ro/1strismaa/
CS25. Nicolae Popovici (member of the Scientific
Committee): A systematization of
quasiconvexity concepts for setvalued maps, First Romanian Itinerant
Seminar on Mathematical Analysis and its Applications (RISMAA), ClujNapoca,
Romania, April 2021, 2018, http://www.cs.ubbcluj.ro/1strismaa/
CS26. Cornel Pintea:
Characterizations of some
properties of the closed convex sets through their Gauss range,
First Romanian Itinerant Seminar
on Mathematical Analysis and its Applications (RISMAA), ClujNapoca, Romania,
April 2021, 2018, http://www.cs.ubbcluj.ro/1strismaa/
CS27. Anca Grad:
A backward step with inertial
effects algorithm solving a monotone inclusion problem, First Romanian Itinerant
Seminar on Mathematical Analysis and its Applications (RISMAA), ClujNapoca,
Romania, April 2021, 2018, http://www.cs.ubbcluj.ro/1strismaa/
CS28. Zsolt Darvay: Classes of
search directions in interiorpoint algorithms for linear complementarity
problems, Seminar of
the Research Group on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, May 31, 2018, http://www.cs.ubbcluj.ro/~grupanopt/.
CS29. Gábor Kassay (invited plenary speaker): The equilibrium problem:
a unified approach to optimization, minimax problems (game theory), variational
inequalities and other interesting problems, 12th Joint Conference on Mathematics and Computer Science, Săcuieu,
Romania, June 14 – 17, 2018, http://www.cs.ubbcluj.ro/~macs/2018/
CS30. Anca Grad: A monotone
inclusion problem solved through an inertial algorithm with two backward steps, 12th Joint Conference on Mathematics and Computer
Science, Săcuieu, Romania, June 14 – 17, 2018, http://www.cs.ubbcluj.ro/~macs/2018/
CS31. Nicolae Popovici:
A general localglobal
extremality principle in vector optimization, International
Conference on Variational Analysis and Nonsmooth Optimization (ICVANO2018) 
dedicated to Boris Mordukhovich, Halle (Saale), Germany, June 28  July 1,
2018, https://blogs.urz.unihalle.de/icvano/
CS32. Gábor Kassay: On a
sufficient condition for weak sharp efficiency in multiobjective
optimization, 2018 International Conference on Management and Operations
Research, Beijing Friendship Hotel, Beijing, China, July 79, 2018, http://icmor.ustb.edu.cn/
CS33. Livia Mihaela Bercheşan: Cyclically
antimonotone vector equilibrium problems, 29th European Conferefnce on
Operational Research (EURO2018), Valencia, Spain, July 811, 2018, http://euro2018valencia.com
CS34. Petra Renáta Rigó, Zsolt Darvay, Tibor Illés: Predictorcorrector interiorpoint
algorithms for sufficient linear complementarity problems, 16th EUROPT Workshop
on Advances in Continuous Optimization, Almería, Spain, July 1213, 2018, http://www2.ual.es/EurOPT18/
CS35. Gábor Kassay: The
equilibrium problem: a unified approach to optimization,minimax
problems (game theory), variational inequalities and other interesting problems,
Research Seminar on Optimization, Budapest University of Technology and
Economics, September 20, 2018
CS36. Zsolt Darvay: Adaptive predictorcorrector
interiorpoint algorithm based on a transformation of the central path, The
17th International Conference on Operational Research KOI 2018, Zadar, Croatia,
September 2628, http://hdoi.hr/koi2018/
CS37. Petra Renáta Rigó, Zsolt Darvay, Tibor Illés: New algebraic equivalent transformation for
a predictorcorrector interiorpoint algorithm, The 17th International
Conference on Operational Research KOI 2018, Zadar, Croatia, September 2628, http://hdoi.hr/koi2018/
CS38. Szilárd Csaba László:
Convergence rates for an
inertial algorithm of gradient type associated to a smooth nonconvex
minimization, Seminar of the Research Group on Analysis and
Optimization, BabeşBolyai University,
ClujNapoca, Romania, October 11, 2018, http://www.cs.ubbcluj.ro/~grupanopt/
CS39. Petra Renáta Rigó: Predictorcorrector interiorpoint
algorithms, Seminar of the Research
Group on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, October 18, 2018, http://www.cs.ubbcluj.ro/~grupanopt/
CS40. Nicolae Popovici: A systematization of quasiconvexity concepts
for setvalued maps, Colloquium Vector and
SetValued Optimization, Wittenberg, Germany, October 2526, 2018, https://leucorea.de/veranstaltungen/vektorenundmengenwertigeoptimierung2/ , Programm
CS41. Cornel Pintea:
Strongly Minkowski sets
revisited, Seminar of the Research Group on Analysis and
Optimization, BabeşBolyai University,
ClujNapoca, Romania, October 25, 2018, http://www.cs.ubbcluj.ro/~grupanopt/.
CS42. Nicolae Popovici:
Generalized convexity of vector
functions w.r.t. polyhedral cones, Seminar of the Research Group on Analysis and
Optimization, BabeşBolyai University,
ClujNapoca, Romania, November 8, 2018, http://www.cs.ubbcluj.ro/~grupanopt/.
CS43. Cornel Pintea:
A nonlinear
eigenvaluetransmission problem with Neumann boundary condition, Seminar of the Research Group on Analysis and
Optimization, BabeşBolyai University,
ClujNapoca, Romania, November 22, 2018, http://www.cs.ubbcluj.ro/~grupanopt/.
CS44. Gábor Kassay: Takahashi’s minimization theorem and some
related results in quasimetric spaces, Seminar
of the Research Group on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, December 6, 2018, http://www.cs.ubbcluj.ro/~grupanopt/.
CS45. Zsolt Darvay, Tibor Illés, Behrouz Kheirfam, Petra Renáta Rigó: A new
predictorcorrector interiorpoint algorithm for linear optimization problem,
VOCAL Optimization Conference: Advanced Algorithms, Esztergom, Hungary,
December 1012, 2018, http://vocal.pgraph.org/
CS46. Petra Renáta Rigó: New trends in
interiorpoint algorithms, VOCAL Optimization Conference: Advanced
Algorithms, Esztergom, Hungary, December 1012, 2018, http://vocal.pgraph.org/
CS47. Zsolt Darvay: A new adaptive
predictorcorrector interiorpoint algorithm for sufficient linear
complementarity problems, VOCAL Optimization Conference: Advanced
Algorithms, Esztergom, Hungary, December 1012, 2018, http://vocal.pgraph.org/
CS48. Szilárd Csaba László: A second order dynamical approach with variable
coefficients to nonconvex smooth minimization, Modern Maximal Monotone Operator Theory: From
Nonsmooth Optimization to Differential Inclusions  Workshop on Nonsmooth and
Variational Analysis, January 28February 1, 2019, Vienna, Austria, https://www.esi.ac.at/events/e29/
CS49. Nicolae Popovici: A
systematization of convexity and quasiconvexity concepts for setvalued maps,
defined by ltype and utype preorder relations, Bocconi University, Milan, Italy, Department of
Decision Sciences, Research Seminar, February
8, 2019,
CS50. Nicolae Popovici: A general
localglobal extremality principle in vector optimization, University of Insubria, Varese, Italy, Department of
Economics, Research Seminar, February 13, 2019, https://www.eco.uninsubria.it/site/dipartimento/ricerca/seminari/
CS51. Nicolae Popovici: New algorithms for
solving discrete vector optimization problems, University of Insubria, Varese, Italy, Department of
Economics, Research Seminar, February 14, 2019, https://www.eco.uninsubria.it/site/dipartimento/ricerca/seminari/
CS52. Nicolae Popovici: New algorithm for
solving planar multiobjective location problems involving the Manhattan norm, University of Insubria, Varese, Italy, Department of
Economics, Research Seminar, February 15, 2019, https://www.eco.uninsubria.it/site/dipartimento/ricerca/seminari/
CS53. Zsolt Darvay: A longstep feasible predictorcorrector interiorpoint
algorithm for symmetric cone optimization, Research Seminar, Department of Differential
Equations, Budapest University of Technology and Economics, Budapest, Hungary,
February 28, 2019.
CS54. Szilárd Csaba László: On a class of second order dynamical systems with
variable coefficients associated to a nonconvex minimization, Seminar of the Research Group on Analysis and
Optimization, BabeşBolyai University,
ClujNapoca, Romania, March 21, 2019, http://www.cs.ubbcluj.ro/~grupanopt/.
CS55. Cornel Pintea: Convex decompositions of some nonconvex open sets, Seminar of the Research Group on Analysis and
Optimization, BabeşBolyai University,
ClujNapoca, Romania, March 28, 2019, http://www.cs.ubbcluj.ro/~grupanopt/.
CS56. Gábor Kassay: On sensitivity of vector equilibria by means of the diagonal
subdifferential operator, Seminar of the Research
Group on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, April 4, 2019, http://www.cs.ubbcluj.ro/~grupanopt/.
CS57. Szilárd Csaba László: A primaldual dynamical approach to a nonsmooth convex
minimization, Games, Dynamics and
Optimization 2019 COST Action CA16228 ”European Network for Game Theory”, April
9 11, 2019, ClujNapoca, Romania, http://gdo2019.com/
CS58. Gábor Kassay (plenary speaker): Vectorial form of Ekeland’s variational
principle with applications to vector equilibrium problems, I Conference on
Minimax Inequalities and Equilibrium Poblems, University of Granada, Spain, 67
May 2019, https://congresos.ugr.es/minequmax/program
CS59. Cornel Pintea: A nonlinear elliptic eigenvaluetransmission
problem with Neumann boundary condition, I Conference on Minimax Inequalities and Equilibrium Poblems, University
of Granada, Spain, 67 May 2019, https://congresos.ugr.es/minequmax/program
CS60. Szilárd Csaba László:
On quasilinear operators, Seminar of the Research Group on Analysis and
Optimization, BabeşBolyai University,
ClujNapoca, Romania, May 16, 2019, http://www.cs.ubbcluj.ro/~grupanopt/.
CS61. Eszter Szénási, Zsolt
Darvay, Petra Renáta Rigó: Interiorpoint algorithm for linear optimization
based on a new search direction, XXXIII. Hungarian Operations Research
Conference, Szeged, Hungary, May 2022, 2019, http://www.mot.org.hu/mok2019
CS62. Tibor Illés, Zsolt
Darvay, Petra Renáta Rigó, Janez
Povh: Interiorpoint algorithms for
linear complementarity problems with transformed central path, XXXIII.
Hungarian Operations Research Conference, Szeged, Hungary, May 2022, 2019, http://www.mot.org.hu/mok2019
CS63.
Gábor Kassay: Vectorial form of
Ekeland's Variational Principle with applications to vector equilibrium
problems, Seminar of the Research Group on Analysis and
Optimization, BabeşBolyai University,
ClujNapoca, Romania, May 23, 2019, http://www.cs.ubbcluj.ro/~grupanopt/.
CS64.
Anca Grad: Inertial algorithms for monotone inclusion problems,
16th International Conference on Applied Mathematics and Computer Science,
Technical University of ClujNapoca, Romania, July 36, 2019.
CS65. Livia Mihaela Bercheşan: Cyclically antimonotone vector equilibrium
problems, 16th International Conference on Applied Mathematics
and Computer Science, Technical University of ClujNapoca, Romania, July 36,
2019.
CS66. Gábor Kassay: Vectorial form of Ekeland Variational Principle with applications
to vector equilibrium problems, Positivity X, Pretoria, South Africa, July
812, 2019, http://positivitymathematics.org/.
CS67. Zsolt Darvay, Tibor Illés, Janez Povh,
Petra Renáta Rigó: Predictorcorrector interiorpoint algorithm for
sufficient linear complementarity problems based on a new search direction, Sixth International
Conference on Continuous Optimization, Berlin, Germany, August 58, 2019, https://iccopt2019.berlin/
CS68. Gábor Kassay (invited speaker): The Ekeland's Variational Principle in optimization and
equilibria, Veszprém Optimization
Workshop dedicated to Béla Vizvári on the occasion of
his 70th birthday, Veszprém, Hungary, August 26  27,
2019, http://vow2019.mik.unipannon.hu/.
CS69. Zsolt Darvay (invited speaker),
Gizella Noémi Márk: New interiorpoint algorithm for suﬃcient linear
complementarity problem, Veszprém
Optimization Workshop dedicated to Béla Vizvári on the
occasion of his 70th birthday, Veszprém, Hungary,
August 26  27, 2019, http://vow2019.mik.unipannon.hu/.
CS70. Zsolt Darvay,
Petra Renáta Rigó: Infeasible interiorpoint
algorithm for linear optimization based on a new search direction,
The 15th International Symposium on Operational Research SOR’19, Bled,
Slovenia, September 2527, 2019, http://sor19.fov.unimb.si/
CS71. Nicolae Popovici: New
algorithms for computing the minimal elements of finite families of sets w.r.t. preorder relations, Seminar of the Research
Group on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, October 17, 2019, http://www.cs.ubbcluj.ro/~grupanopt/
CS72. Nicolae Popovici: Localglobal
extremality properties in vector optimization, Colloquium
Vector and SetValued Optimization, Wittenberg, Germany, October 2526,
2019
CS73. Cornel Pintea: The convex decomposition number and the valence of
some functions, Seminar of the Research Group on Analysis and Optimization, BabeşBolyai University, ClujNapoca, Romania,
November 21, 2019, http://www.cs.ubbcluj.ro/~grupanopt/
CS74. Anca Grad: Relaxed
inertial algorithms for monotone inclusion problems, Seminar of the Research
Group on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, November 28, 2019, http://www.cs.ubbcluj.ro/~grupanopt/
CS75. Szilárd Csaba László:
Possible convergence rates of order O(1/n^{2})
for some inertial algorithms obtained via the explicit Euler method applied to
a perturbed version of the second order dynamical system that models Nesterov’s accelerated convex gradient method, Seminar of the Research
Group on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, December 5, 2019, http://www.cs.ubbcluj.ro/~grupanopt/
Habilitation Thesis
Cornel Pintea: The size of critical and
tangency sets, Habilitation Thesis, BabeşBolyai University, Faculty
of Mathematics and Computer Science, ClujNapoca, Romania, 2019 [172 pages].
·
Associate Professor
Ovidiu BAGDASAR, Ph.D. (University
of Derby, UK)
 Invited talk: Traffic assignment: Methods and
simulations for an alternative formulation of the fixed demand problem, Seminar of the Research
Group on Analysis and Optimization, BabeşBolyai
University, Faculty
of Mathematics and Computer Science, ClujNapoca, Romania, June 7, 2018, http://www.cs.ubbcluj.ro/~grupanopt/
 Invited talk: Automatic design and correction
of ceramic colors: Problem statement, methodology and benefits, Seminar of the Research
Group on Analysis and Optimization, BabeşBolyai
University, Faculty
of Mathematics and Computer Science, ClujNapoca, Romania, May 30, 2019, http://www.cs.ubbcluj.ro/~grupanopt/
·
Professor Monica BIANCHI, Ph.D. (Universita
Cattolica del Sacro Cuore di Milano, Italy)
 Research visit at BabeşBolyai University, Faculty
of Mathematics and Computer Science, ClujNapoca,
June 48, 2018;
·
Professor Marco CASTELLANI, Ph.D. (Universitŕ degli Studi dell'Aquila, Italia)
 Research visit at BabeşBolyai University, Faculty
of Mathematics and Computer Science, ClujNapoca,
May 31  June 7, 2019;
·
RobertErnö CSETNEK, Ph.D. (University of Vienna, Austria)
 Invited talk: Proximal splitting methods for solving nonsmooth convex optimization
problems, Seminar of the Research
Group on Analysis and Optimization, BabeşBolyai
University, Faculty
of Mathematics and Computer Science, ClujNapoca, Romania, October 12, 2017, http://www.cs.ubbcluj.ro/~grupanopt/
 Invited talk: Approaching nonsmooth and
nonconvex optimization problems through continuous and discrete proximaltype
algorithms, Seminar of the Research
Group on Analysis and Optimization, BabeşBolyai
University, Faculty
of Mathematics and Computer Science, ClujNapoca, Romania, October 26, 2017, http://www.cs.ubbcluj.ro/~grupanopt/
·
Associate Professor
Massimiliano GIULI, Ph.D.
(Universitŕ degli Studi dell'Aquila, Italia)
 Research visit at BabeşBolyai University, Faculty
of Mathematics and Computer Science, ClujNapoca,
May 31  June 7, 2019;
 Invited talk: Existence of quasiequilibria in
locally convex metric vector spaces, Seminar of the Research Group on Analysis
and Optimization, BabeşBolyai University, Faculty
of Mathematics and Computer Science, ClujNapoca, Romania, June 6, 2019, http://www.cs.ubbcluj.ro/~grupanopt/
· Christian GÜNTHER, Ph.D. (Martin Luther University of Halle, Germany)
 Research visit at BabeşBolyai University, Faculty of Mathematics
and Computer Science, ClujNapoca, November 3  6,
2019;
 Invited talk: Relationships between ClarkeYe type penalization and vectorial
penalization in multiobjective optimization, Seminar of the Research Group on Analysis
and Optimization, BabeşBolyai University, Faculty
of Mathematics and Computer Science, ClujNapoca, Romania, November 4, 2019, http://www.cs.ubbcluj.ro/~grupanopt/
·
Professor Juan Enrique MARTÍNEZLEGAZ, Ph.D. (Universitat Autňnoma de Barcelona)
 Invited talk:DC Programming: optimality,
duality and applications, Seminar of the Research Group on Analysis and Optimization, BabeşBolyai University, Faculty of Mathematics
and Computer Science, ClujNapoca, Romania, April 5, 2018, http://www.cs.ubbcluj.ro/~grupanopt/
·
Enrico MORETTO, Ph.D. (Universita degli Studi dell’Insubria, Varese,
Italy)
 Research visit at BabeşBolyai University, Faculty of Mathematics
and Computer Science, ClujNapoca, November 9  12,
2019;
 Invited talk: Bargaining region in a merger agreement: a diagrammatic approach, Seminar of the Research
Group on Analysis and Optimization, BabeşBolyai
University, Faculty
of Mathematics and Computer Science, ClujNapoca, Romania, November 11, 2019, http://www.cs.ubbcluj.ro/~grupanopt/
·
Professor Rita PINI, Ph.D. (Universita degli Studi di Milano Bicocca,
Italy)
 Research visit at BabeşBolyai University, Faculty
of Mathematics and Computer Science, ClujNapoca,
scheduled June 48, 2018;
·
Asma SAIDI, Ph.D. (Ibn Zohr
University Agadir, Morocco)
 Research visit at BabeşBolyai University, Faculty of Mathematics
and Computer Science, ClujNapoca, May 431,
2018;
 Invited talk: An equilibrium problem approach
for the existence of antiperiodic solutions for nonlinear implicit evolution
equations, Seminar of the Research
Group on Analysis and Optimization, BabeşBolyai
University, Faculty
of Mathematics and Computer Science, ClujNapoca, Romania, May 17, 2018, http://www.cs.ubbcluj.ro/~grupanopt/
 Research visit at
BabeşBolyai University, Faculty of Mathematics and Computer Science, ClujNapoca, April 430, 2019;
 Invited talk: Iterative algorithm for systems
of mixed vector equilibrium problems involving setvalued variationallike
inequalities,
Seminar of the Research Group on Analysis and Optimization, BabeşBolyai
University, Faculty
of Mathematics and Computer Science, ClujNapoca, Romania, April 18, 2019, http://www.cs.ubbcluj.ro/~grupanopt/
The Scientific Report No.1 (on the period of 12/07/2017  31/12/2017) is available here
The Scientific Report No.2 (on the period of 01/01/2018  31/12/2018) is available here
The Scientific Report No.3 (on the period of 01/01/2019 – up to date) is available here
Updated by Nicolae Popovici on September 10, 2020