Exploratory Research
Project PNIIIDPCE201130024
Contract:
157/05.10.2011, financed by UEFISCDI – Romanian Executive Agency for Higher Education,
Research, Development and Innovation
Project duration: 5 years (5/10/2011 –
4/10/2016)
Project title: The structure and
sensitivity of the solution sets of variational
inequalities, optimization and equilibrium problems under generalized monotonicity
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 PINTEA, Ph.D. Email: cpintea [ at ] math [
dot ] ubbcluj [ dot ] ro URL: http://math.ubbcluj.ro/~cpintea/ 

Assoc. prof. Szilárd LÁSZLÓ, Ph.D. Email: laszlosziszi [ at ]
yahoo [ dot ] com URL: http://www.researcherid.com/rid/E95092011 

Assist. prof. Mihaela MIHOLCA (BERCHEŞAN),
Ph.D. member of the project team since 01/11/2012 Email: mihaela.miholca [ at ] yahoo [ dot ]
com URL: http://math.ubbcluj.ro/~mmiholca 

PetraRenáta
TAKÁCS, Master Student Member of the research team since 01/02/2016 Email: t_petra92 [at] yahoo [dot] com URL: 
Former
member 
Erika
NAGY, Ph.D. member of the project team till 31/12/2014 Email: na.erika [ at ] yahoo [ dot ] com 
Former member 
Boglárka BURJÁNMOSONI, Ph.D. member of the project team till 31/10/2012 Email: mo_bogi [ at ] yahoo [ dot ] com 
Project summary and objectives
The project is mainly
motivated by the growing literature in scalar and vector optimization problems,
variational inequalities, and equilibrium problems,
which neatly shows that these fields are appropriate for applying the modern
tools of variational analysis. Nine objectives are
considered:
O1.Studying condition numbers and metric
regularity within parametric variational inequalities
and parametric equilibrium problems;
O2.Identifying classes of generalized monotone
operators for which local and global monotonicity are
equivalent and deduce injectivity results;
O3.Studying the structure of the solution sets
for generalized monotone operators;
O4.Characterizing the subdifferential
for certain classes of generalized monotone operators;
O5.Approaching the sum problem for maximal
monotone operators;
O6.Constructing algorithms for variational inequalities and equilibrium problems;
O7.Extending the proximal point algorithm for
equilibrium problems to reflexive Banach spaces;
O8.Characterizing generalized convex vector
functions by scalarization;
O9.Studying the structure of the solution sets of
vector variational inequalities and equilibrium
problems.
Period 
Papers
published/accepted in ISI journals 
Papers
published/accepted in journals indexed in international databases 
Papers under
review 
Total 
05.10.2011 – 15.12.2011 
1 [item P1 in the list below] 
0 
0 
1 
16.12.2011 – 15.12.2012 
7 [items P2P8 in the list below] 
0 
0 
7 
16.12.2012 – 15.12.2013 
7 [items P9P13 and P15P16 in the list below] 
1
[item P14 in the list below] 
0 
8 
16.12.2013 – 31.12.2014 
9
[items P17P23, P25 and P26 in the list below] 
1
[item P24 in the list below] 
0

10 
01.01.2015 – 31.12.2015 
6 [items P27, P29 P33 in the list below] 
0 
1
[item P28 in the list below] 
7 
01.01.2016 – 04.10.2016 
1 [item P34 in the list below] 
 
2[items P35 and P36 in the list below] 
3 
Total 
31
(sum of impact factors: 29,385) 
2 
3 
36 
P1.
Szilárd László and Boglárka BurjánMosoni:
About the maximal monotonicity
of the generalized sum of two maximal monotone operators, SetValued
Var. Anal., 20 (2012), 355368, doi:10.1007/s112280110202z [JCR Science Edition 2015 IF: 0,973]
P2.
Regina Burachik and Gábor
Kassay: On a generalized proximal
point method for solving equilibrum problems in Banach spaces, Nonlinear
Anal., 75 (2012), 64566464, doi:10.1016/j.na.2012.07.020
[JCR Science Edition 2015 IF:
1,125]
P3.
Monica Bianchi, Gabor
Kassay and Rita Pini: An inverse map result and some applications
to sensitivity of generalized equations, J. Math. Anal. Appl., 399
(2013), 279290, doi:10.1016/j.jmaa.2012.10.023
[JCR Science Edition 2015 IF: 1,014]
P4.
Gabor Kassay, Cornel
Pintea and Szilárd László: Monotone operators and first category sets, Positivity, 16 (2012), 565577, doi:10.1007/s1111701201935
[JCR Science Edition 2015 IF: 0,479]
P5.
Szilárd László: Existence of solutions of
inverted variational inequalities, Carpathian
J. Math., 28 (2012), 271278, webpage
[JCR Science Edition 2015 IF: 0,610]
P6.
Szilárd László: On the strong representability
of the generalized parallel sum, Bull. Malays. Math. Sci. Soc.,
37 (2014) (4), 10291046 [JCR Science Edition 2015 IF: 0,640]
P7.
Alireza AminiHarandi
and Szilárd László: A coincidence point result via variational
inequalities, Fixed Point Theory 15 (2014) (1), 8798 [JCR
Science Edition 2015 IF: 0,581]
P8.
Mihaela Miholca (Bercheşan): On setvalued optimization problems and vector variationalinequalities,
Optim. Lett., 8 (2014)
(2), 463476, doi:10.1007/s1159001205914 [JCR Science Edition 2015 IF: 1,019]
P9.
Cornel Pintea: Global injectivity conditions for planar
maps, Monatsh. Math., 172 (2013), 399413, doi:10.1007/s006050120474x
[JCR Science Edition 2015 IF: 0,664]
P10. Mihaela Miholca (Bercheşan):
Vector variationallike
inequalities and vector optimization problems, Carpathian J. Math., 30 (2014) (1), 101108, webpage [JCR Science Edition 2015 IF:
0,610]
P11. Radu Ioan Boţ, Ernö Robert Csetnek and Erika Nagy: Solving systems of monotone inclusions via
primaldual splitting techniques, Taiwanese J. Math., 17 (2013) (6),
19832009, doi:10.11650/tjm.17.2013.3087
[JCR Science Edition 2015 IF: 0,617]
P12.
Gabor Kassay
and Mihaela Miholca (Bercheşan):
Existence results for variational
inequalities with surjectivity consequences related
to generalized monotone operators, J.
Optim. Theory Appl., 159 (2013), 721740, doi:10.1007/s1095701303838
[JCR Science Edition 2015 IF: 1,160]
P13. Dorin Andrica, Dana Mangra and Cornel Pintea: The circular MorseSmale characteristic of closed surfaces, Bull. Math. Soc. Sci. Math. Roumanie, Tome 57(105) (2014) (3),
235–242, [JCR Science Edition 2015 IF: 0,395]
P14. Dorin Andrica, Dana Mangra and Cornel Pintea: The minimum number of critical points of circular Morse functions, Stud.
Univ. BabesBolyai Math., 58 (2013 (4), 485495, webpage
P15. Shaghaf Alzorba, Christian Günther and Nicolae Popovici: A special class of extended multicriteria
location problems, Optimization, 64 (2015) (5), 13051320., doi:10.1080/02331934.2013.869810
[JCR Science Edition 2015 IF: 0,822]
P16. Szilárd László and Adrian Viorel: Generalized monotone operators on dense sets,
Numer. Funct.
Anal. Optim., 36 (2015) (7), 901–929, doi:10.1080/01630563.2015.1040162
[JCR Science Edition 2015 IF: 0,649]
P17. Daniela Marian, Ioan Radu Peter and Cornel Pintea: A class of generalized monotone operators,
J. Math. Anal. Appl., 421 (2015) (2), 1827–1843, doi:10.1016/j.jmaa.2014.08.017
[JCR Science Edition 2015 IF: 1,014]
P18. Monica Bianchi, Gabor Kassay and Rita Pini: Stability results of variational systems under openness with respect
to fixed sets, J. Optim. Theory Appl., 164 (2015) (1), 92108, doi:10.1007/s1095701405604 [JCR Science Edition 2015 IF: 1,160]
P19. Daishi Kuroiwa,
Nicolae Popovici and Matteo Rocca: A
characterization of coneconvexity for setvalued functions by
conequasiconvexity, SetValued Var. Anal., 23 (2015) (2), 295304, doi:10.1007/s1122801403072
[JCR Science Edition 2015 IF: 0,973]
P20. Ovidiu Bagdasar and Nicolae Popovici: Local maximum points of
explicitly quasiconvex functions, Optim. Lett., 9 (2015)
(4), 769–777, doi:10.1007/s1159001407813, [JCR Science Edition 2015 IF: 1,019]
P21. Gabor Kassay and Mihaela Miholca:
Existence results for vector equilibrium problems given by a sum of two
functions, J. Global Optim., 63 (2015) (1), 195–211, doi:10.1007/s1089801402641,
[JCR Science Edition 2015 IF: 1,219]
P22. Daishi Kuroiwa,
Nicolae Popovici and Matteo Rocca: Characterizations
of coneconvex vectorvalued functions, Carpathian J. Math., 32 (2016) (1), 7985, webpage, [JCR Science Edition 2015 IF:
0,610]
P23. Nicolae Popovici: A decomposition approach to
vector equilibrium problems, Ann. Oper. Res., 251 (2017) (1), 105115, doi:10.1007/s1047901518611 [JCR Science Edition 2015 IF:
1,406]
P24. Adela Capătă and Gabor Kassay: Characterizations of vector equilibria subject to explicit constraints,
Minimax Theory and Its Applications, 1 (2016) (1), 145–161, webpage
P25. Monica Bianchi, Gabor Kassay and Rita Pini: Linear openness of the composition of setvalued maps and applications
to variational systems, SetValued Var.
Anal., 24 (2016) (4), 581–595, doi:10.1007/s1122801503570 [JCR Science Edition 2015 IF: 0,973]
P26. Cornel Pintea and Tiberiu Trif: The monotoncity of perturbed gradients of convex
functions, J. Convex Anal.,
24 (2017) (2), page numbers not yet available, webpage [JCR Science Edition 2015 IF: 0,786]
P27. Ovidiu Bagdasar and Nicolae Popovici: Extremal properties of
generalized convex vector functions, J.
Nonlinear Convex Anal.,
accepted, [JCR Science Edition 2015 IF: 0,691]
P28. Adela Capătă and Gabor Kassay: Existence results for strong vector equilibrium with applications, under review
P29. Gabor Kassay, Mihaela Miholca and Nguyen The Vinh: Vector quasiequilibrium problems for the sum of two multivalued
mappings, J. Optim. Theory Appl., 169 (2016) (2), 424442., doi:
10.1007/s1095701609199 [JCR Science Edition 2015 IF: 1,160]
P30. Shaghaf Alzorba, Christian Günther, Nicolae Popovici and
Christiane Tammer: A new algorithm for
solving planar multiobjective location problems involving the Manhattan norm, European
J. Oper. Res., 258 (2017) (1), 3546, doi:
10.1016/j.ejor.2016.10.045, [JCR Science Edition 2015 IF: 2,679]
P31. Szilárd László: Vector
equilibrium problems on dense sets, J.
Optim. Theory Appl., 170 (2016)
(2), 437–457, 10.1007/s1095701609150 [JCR Science Edition 2015 IF: 1,160]
P32. Ioan Radu Peter and Cornel Pintea: Necessary conditions
for finite critical sets. Maps with infinite critical
sets, Topol. Methods Nonlinear Anal., 47 (2016) (2), 739749, doi:10.12775/TMNA.2016.032 [JCR Science Edition 2015 IF: 0,717]
P33. Juan
Enrique MartinezLegaz and Cornel Pintea: Closed convex sets of Minkowski
type, J. Math. Anal. Appl., 444 (2016) (2), 1195–1202, doi:10.1016/j.jmaa.2016.06.073
[JCR Science Edition 2015 IF: 1,014]
P34. Zsolt Darvay, IngridMagdolna Papp and PetraRenáta Takács: Complexity analysis of a fullNewton step
interiorpoint method for linear optimization, Period. Math. Hungar.,
73 (2016) (1), 27–42, http:
10.1007/s1099801601192 [JCR Science Edition 2015 IF: 0,286]
P35. Szilárd László: Minimax
results on dense sets and dense families of functionals, under review
P36. Gabor Kassay, Tring
Ngoc Hai, Nguyen The Vinh: Coupling Popov's algorithm with subgradient extragradient method for
solving equilibrium problems, under review
Period 
Plenary/session
invited talks at international conferences/workshops 
Contributed
talks at international conferences/workshops 
Invited
talks at research seminars abroad 
Talks at
conferences and research seminars in Romania 
Total 
05.10.2011 – 15.12.2011 
0 
0 
0 
0 
0 
16.12.2011 – 15.12.2012 
2 [CS5 and CS9 in the list below] 
2 [CS6 and CS8 in the list below] 
6 [CS1CS4, CS7 and CS11 in the list below] 
3
[CS10, CS12 and CS13 in the list below] 
13 
16.12.2012– 15.12.2013 
5 [CS17, CS21, CS24, CS25 and CS30 in the list below] 
5 [CS26CS29 and CS31 in the list below] 
5 [CS16 and CS33CS36 in the list below] 
11 [CS14, CS15, CS18CS20, CS22, CS23, CS32 and CS37CS39 in the list
below] 
26 
16.12.2013 – 31.12.2014 
1
[CS45 in the list below] 
5 [CS40, CS41 and CS50CS52 in the list below] 
2 [CS48 and C49 in the list below] 
10
[CS42CS44, CS46, CS47 and CS53CS57 in the list
below] 
18 
01.01.2015 – 31.12.2015 
4
[CS63CS65 and CS69 in the list below] 
2 [CS66 and CS67 in the list below] 
3 [CS58, CS59 and CS68 in the list below] 
8
[CS60C63 and CS71CS74 in the list below] 
17 
01.01.2016 – 04.10.2016 
 
7
[CS75, CS83CS88 in the list below] 
4
[CS76CS78 and CS80 in the list below] 
3
[CS79, CS81 and CS82 in the list below] 
14 
Total 
12 
21 
20 
35 
88 
CS1. Gábor Kassay: On a generalized proximal point method for
equilibrium problems in Banach spaces, Research
Seminar, Department of Mathematics, Faculty of Sciences, Cadi
Ayyad University, Marrakesh, Morocco, March 22, 2012.
CS2. Gábor Kassay: An inverse function result and some applications
to sensitivity of generalized equations, Research Seminar, Department of
Economics, Faculty of Economics and Social Sciences, Ibn
Zohr University, Agadir,
Morocco, Research Seminar, March 29, 2012.
CS3. Nicolae Popovici: Applications of generalized convexity in multicriteria optimization, Martin Luther University of
Halle, Germany, Oberseminar Optimierung,
April 23, 2012, http://www.mathematik.unihalle.de/institute/optimierung/vario/semoptim.html.
CS4. Nicolae Popovici: A special class of generalized convex
functions with applications in vector optimization, Chemnitz University of
Technology, Germany, Research Seminar Optimization and Approximation, April 25,
2012, http://www.tuchemnitz.de/mathematik/approximation/seminars.php.
CS5. Gábor Kassay (invited speaker):
Monotone operators and closed countable sets, Workshop on “Optimization
and Variational Analysis”, Universita Cattolica Del’Sacro Cuore di Milano and Universita Degli Studi
di Milano Bicocca, Milano, Italy, May 1011, 2012
CS6. Gábor Kassay: An inverse function result and some applications
to sensitivity of generalized equations, 58th Course: Variational
Analysis and Applications, Erice, May 14–22, 2012.
CS7. Nicolae Popovici: Semistrictly quasiconvexlike
multicriteria optimization, University of Varese, Italy, Department of
Economics, Research Seminar, June 26, 2012, http://eco.uninsubria.it/dipeco/seminari2012.htm.
CS8. Gábor Kassay: An inverse function result and some applications
to sensitivity of generalized equations, 25th European Conference on Operational
Research, Vilnius, Lithuania, July 8–11, 2012, http://www.euro2012.lt/user/_files/28/mondayprogrameuro25.pdf.
CS9. Szilard Laszlo (speaker in invited session Fri.3.H 2051): Regularity conditions for the maximal
monotonicity of the generalized parallel sum, The 21st International
Symposium on Mathematical Programming, Berlin, Germany, August 1924, 2012, http://ismp2012.mathopt.org/showsession?sess=110.
CS10. Gábor Kassay:
An inverse map result and some
applications to sensitivity of generalized equations, Seminar of the
Research Group on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, November 1, 2012, http://www.cs.ubbcluj.ro/~grupanopt/.
CS11. Nicolae Popovici: Decomposition
of multicriteria planar location problems, University of
Varese, Italy, Department of Economics, Research Seminar, November 20, 2012, http://eco.uninsubria.it/dipeco/seminari2012.htm.
CS12. Szilárd László:
Coincidence point results via variational inequalities, Seminar of the Research Group
on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, November 22, 2012, http://www.cs.ubbcluj.ro/~grupanopt/.
CS13. Nicolae Popovici:
Generalized multicriteria
location problems, Seminar of the Research Group on Analysis and
Optimization, BabeşBolyai University,
ClujNapoca, Romania, December 13, 2012, http://www.cs.ubbcluj.ro/~grupanopt/.
CS14. Cornel Pintea:
Properties of monotone operators.
Applications, Seminar of the Research Group on Analysis and Optimization, BabeşBolyai University, ClujNapoca, Romania, January
10, 2013, http://www.cs.ubbcluj.ro/~grupanopt/.
CS15. Gábor Kassay:
On a generalized proximal point method
for solving equilibrium problems in Banach spaces,
Seminar of the Research Group on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, January 17, 2013, http://www.cs.ubbcluj.ro/~grupanopt/.
CS16.
Nicolae Popovici: Approximation
of efficient points in vector optimization, University of Valle d'Aosta, Italy, Research Seminar, February 15,
2013.
CS17.
Nicolae Popovici (invited
speaker): Vector optimization: a stateoftheart survey, Workshop on Vector and Set Optimization, University
of Varese, Italy, February 18, 2013.
CS18. Mihaela Miholca
(Bercheşan): On
surjectivity of some classes of generalized monotone
operators, Seminar of the Research Group on Analysis and Optimization, BabeşBolyai University, ClujNapoca, Romania, March
14, 2013, http://www.cs.ubbcluj.ro/~grupanopt/.
CS19. Szilard Laszlo: On some new concepts in
Nonlinear Analysis, Research Seminar, Department of Mathematics, Technical University,
ClujNapoca, March 21, 2013.
CS20. Erika Nagy: A primaldual splitting algorithm for
solving systems of monotone inclusions, Seminar of the Research Group on
Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, April 11, 2013, http://www.cs.ubbcluj.ro/~grupanopt/
.
CS21. Gábor Kassay
(invited speaker): Existence results for variational
inequalities with surjectivity consequences related
to generalized monotone operators, Workshop on Optimization and Variational
Analysis, University of L'Aquila, May 910, 2013.
CS22. Nicolae Popovici:
Decomposition of vector variational inequalities, Seminar of the Research Group
on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, May 23, 2013, http://www.cs.ubbcluj.ro/~grupanopt/.
CS23. Erika Nagy: Applications to convex minimization problems
via a primaldual splitting algorithm, Seminar of the Research Group on
Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, June 13, 2013, http://www.cs.ubbcluj.ro/~grupanopt/
.
CS24. Gábor Kassay
(speaker in invited session WD01): On a generalized proximal point method for solving equilibrum problems in
Banach spaces, 11^{th}
EUROPT Workshop on Advances in
Continuous Optimization, Firenze (Italy), June 2628, 2013, http://www.europt2013.org/.
CS25. Mihaela Miholca
(Bercheşan) (speaker in invited session WE01): Existence results for
variational inequalities with surjectivity consequences related to generalized
monotone operator, 11^{th} EUROPT Workshop on Advances in Continuous
Optimization, Firenze
(Italy), June 2628, 2013, http://www.europt2013.org/.
CS26. Erika Nagy: A primaldual splitting algorithm for
solving systems of monotone inclusions, International Conference on
Anatolian Communications in Nonlinear Analysis, Abant
Izzet Baysal University, Bolu, Turkey, July 36, 2013.
CS27. Gábor Kassay
(chair of session Wed.A.25): An inverse map result and some applications to sensitivity of generalized
equations, ICCOPT
2013 The Fourth International Conference on Continuous Optimization, Lisbon,
Portugal, July 27  August 1, 2013, http://eventos.fct.unl.pt/iccopt2013.
CS28. Mihaela Miholca
(Bercheşan): Existence results for variational inequalities with
surjectivity consequences related to generalized monotone operator, ICCOPT 2013 The Fourth
International Conference on Continuous Optimization, Lisbon, Portugal, July 27
 August 1, 2013, http://eventos.fct.unl.pt/iccopt2013.
CS29. Szilárd László
(chair of Session 10): Univalence results via monotonicity , 9^{th} International
Symposium on Geometric Function Theory and Applications, Işık
University, Istanbul, Turkey, August 2630, 2013, ,http://gfta.isikun.edu.tr/
CS30. Nicolae Popovici
(invited plenary speaker): On the
relationship between efficiency and weak efficiency in vector optimization,
XXXVII Meeting of the Italian Association for Mathematics Applied to Economic
and Social Sciences (AMASES), September 57, 2013, Stresa,
Italy, http://www.amases2013.eco.uninsubria.it/site/
CS31. Szilárd László: Multivalued variational inequalities and coincidence point results,
International Conference of Applied Mathematics, Baia
Mare, Romania, September 2528, 2013, icam.ubm.ro/index.php?icam=ICAM9
CS32. Szilárd László:
Generalized monotone operators on dense
sets, Seminar of the Research Group on Analysis and Optimization, BabeşBolyai University, ClujNapoca, Romania, October
10, 2013, http://www.cs.ubbcluj.ro/~grupanopt/
CS33. Nicolae Popovici:
On the relationship between efficiency
and weak efficiency in vector optimization, Research Seminar, University of
Derby, UK, October 21, 2013.
CS34. Nicolae Popovici:
Efficiency versus optimality in multicriteria
decision making, Research Seminar, Department of Economics, University of
Milan, Italy, October 23, 2013.
CS35. Nicolae Popovici:
Special classes of generalized convex vectorvalued functions, Research
Seminar, Department of Economics, University of Insubria,
Varese, Italy, October 24, 2013, http://www.eco.uninsubria.it/site/dipartimento/ricerca/seminari2013
CS36. Nicolae Popovici:
Multicriteria optimization problems related to location
theory, Research Seminar, Department of Economics, University of Pavia,
Italy, October 25, 2013.
CS37. Nicolae Popovici:
On a special class of multicriteria
optimization problems, Seminar of the Research Group on Analysis and
Optimization, BabeşBolyai University,
ClujNapoca, Romania, October 31, 2013, http://www.cs.ubbcluj.ro/~grupanopt/
CS38. Nicolae Popovici:
Explicitly quasiconvex
optimization problems, Seminar of the Research Group on Analysis and
Optimization, BabeşBolyai University,
ClujNapoca, Romania, November 7, 2013, http://www.cs.ubbcluj.ro/~grupanopt/
CS39. Gábor Kassay:
Stability results of variational systems under
linear openness, Seminar of the Research
Group on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, November 21, 2013, http://www.cs.ubbcluj.ro/~grupanopt/
CS40. Gábor Kassay: On a generalized proximal point
algorithm for equilibrium problems in Banach spaces, The Third International Conference on Numerical Analysis and
Optimization, 59 January, 2014,Sultan Qaboos University, Muscat, Sultanate of
Oman, http://conference.squ.edu.om/portals/16/NAOiii%202014%20Conference%20Programme.pdf
CS41. Mihaela Miholca
(Bercheşan): Some
existence results on equilibrium problems and applications, The Third International Conference on
Numerical Analysis and Optimization, 59 January, 2014,Sultan Qaboos
University, Muscat, Sultanate of Oman, http://conference.squ.edu.om/portals/16/NAOiii%202014%20Conference%20Programme.pdf
CS42. Mihaela Miholca
(Bercheşan): On
vector equilibrium problems given by a sum of two functions, Seminar of the
Research Group on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, February 27, 2014, http://www.cs.ubbcluj.ro/~grupanopt/
CS43. Nicolae Popovici:
A characterization of coneconvex
functions, Seminar of the Research Group on Analysis and Optimization, BabeşBolyai University, ClujNapoca, Romania, March
20, 2014, http://www.cs.ubbcluj.ro/~grupanopt/
CS44. Szilárd László:
Densely defined equilibrium problems,
Seminar of the Research Group on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, May 8, 2014, http://www.cs.ubbcluj.ro/~grupanopt/
CS45. Gábor Kassay
(invited speaker): Linear openness and variational systems, Workshop on Optimization, Game Theory and
Related Topics, Department of Mathematics, University of Genova, Italy, 89
May, 2014.
CS46. Cornel Pintea:
A class of generalized monotone operators,
Seminar of the Research Group on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, May 15, 2014, http://www.cs.ubbcluj.ro/~grupanopt/
CS47. Gábor Kassay: Linear openness and variational systems, Seminar of the Research
Group on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, May 22,
2014, http://www.cs.ubbcluj.ro/~grupanopt/
CS48. Szilárd László:
Self segmentdense sets, generalized
monotone operators and equilibrium problems, Seminar of the Research Group
on Applied Mathematics and Optimization, University of Vienna, Austria, June
12, 2014, http://plone.mat.univie.ac.at/events/2014/selfsegmentdensesetsgeneralizedmonotoneoperatorsandequilbriumproblems/view
CS49. Nicolae Popovici:
Special classes of generalized convex vectorvalued functions, Research
Seminar, Department of Economics, University of Insubria,
Varese, Italy, June 17, 2014, http://www.eco.uninsubria.it/site/dipartimento/ricerca/seminari/20142/
CS50. Mihaela Miholca
(Bercheşan): On
vector equilibrium problems given by a sum of two functions, 20^{th}
Conference of the International Federation of Operational Research Societies
(IFORS 2014), Barcelona, July 1318, 2014, http://ifors2014.upc.edu/content/fa
(see FA26 Session)
CS51. Nicolae Popovici:
On certain classes of generalized convex
setvalued functions, Set Optimization meets Finance (SOMF2) 
International Conference on SetValued Variational
Analysis and Optimization with Applications in Finance, September 812, 2014, BruneckBrunico, Italy, https://www.unibz.it/en/economics/research/somf2/default.html
CS52. Szilárd László:
An inertial forwardbackward algorithm
for minimizing the sum of two nonconvex functions, 3rd International Conference on Numerical
Analysis and Approximation Theory, September 1720, 2014, ClujNapoca, Romania,
http://naat.math.ubbcluj.ro/index.html
CS53. Nicolae Popovici:
A decomposition approach to vector
equilibrium problems, Seminar of the Research Group on Analysis and
Optimization, BabeşBolyai University,
ClujNapoca, Romania, October 30, 2014, http://www.cs.ubbcluj.ro/~grupanopt/
CS54. Cornel Pintea,
Tiberiu Trif: On certain generalized monotone operators,
Seminar of the Research Group on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, November 6, 2014, http://www.cs.ubbcluj.ro/~grupanopt/
CS55. Szilárd László:
On
injectivity of a class of monotone operators with some univalency consequences, Seminar of the Research
Group on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, November 27, 2014, http://www.cs.ubbcluj.ro/~grupanopt/
CS56. Cornel Pintea:
Operations with monotone operators and
the monotonicity of the resulting operators,
Seminar of the Research Group on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, December 4, 2014, http://www.cs.ubbcluj.ro/~grupanopt/
CS57. Gábor Kassay:
Linear openness of the composition of setvalued
maps and applications to variational systems, Seminar
of the Research Group on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, December 11, 2014, http://www.cs.ubbcluj.ro/~grupanopt/
CS58. Nicolae Popovici:
A decomposition approach to vector
equilibrium problems, Research Seminar, Department of Economics, University
of Insubria, Varese, Italy, February 9, 2015 http://www.eco.uninsubria.it/site/dipartimento/ricerca/seminari/
CS59. Cornel Pintea:
Closed convex
sets of KreinMilman type, Universitat
Autňnoma de Barcelona, Spain,
February 23, 2015.
CS60. Nicolae Popovici:
A new algorithm for solving planar multiobjective
location problems, Seminar of the Research Group on Analysis and Optimization, BabeşBolyai University, ClujNapoca, Romania,
February 26, 2015, http://www.cs.ubbcluj.ro/~grupanopt/
CS61. Mihaela Miholca
(Bercheşan): Vector
quasiequilibrium problems for the sum of two multivalued mappings, Seminar of the Research
Group on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, March 5, 2015, http://www.cs.ubbcluj.ro/~grupanopt/
CS62. Ovidiu Bagdasar
(University of Derby), Nicolae Popovici:
Extremal properties of generalized convex
vectorvalued functions, Seminar of the Research
Group on Analysis and Optimization, BabeşBolyai
University, ClujNapoca, Romania, April 2, 2015, http://www.cs.ubbcluj.ro/~grupanopt/
CS63. Cornel Pintea:
Closed convex sets of Minkowski
type, Seminar of the Research Group on Analysis and Optimization, BabeşBolyai University, ClujNapoca, Romania, April
23, 2015, http://www.cs.ubbcluj.ro/~grupanopt/
CS64. Gábor Kassay (invited speaker): Existence results
for vector equilibrium problems given by a sum of two functions,
International Workshop on Evolution Problems and Optimization, Agadir, Morocco, May 4–6, 2015, poster
CS65.
Gábor Kassay (invited speaker): Vector quasiequilibrium
problems for the sum of two multivalued mappings,
Workshop on Variational Analysis, Game Theory and
Related Topics, Genova, Italy, May 78, 2015, http://www.dima.unige.it/~pusillo/workshop_2015.htm
CS66.
Gábor Kassay (invited speaker): Linear openness
of the composition of setvalued maps and applications to variational systems,
International Conference on Nonlinear Operators, Differential Equations and
Applications (ICNODEA 2015), July 1417, 2015, ClujNapoca, Romania, http://www.cs.ubbcluj.ro/~icnodeacj/index.htm
CS67.
Mihaela
Miholca (Berchesan): Vector quasiequilibrium problems for the sum of two
multivalued mappings, International Conference on Nonlinear Operators,
Differential Equations and Applications (ICNODEA 2015), July 1417, 2015,
ClujNapoca, Romania, http://www.cs.ubbcluj.ro/~icnodeacj/index.htm
CS68. Gábor Kassay: Equilibrium problems for the sum
of two multivalued mappings, MOPTA  Modeling and Optimization: Theory and
Applications, 2022 July 2015, Bethlehem PA, USA, http://coral.ie.lehigh.edu/~mopta/
, http://coral.ie.lehigh.edu/~mopta/mopta2015.pdf
CS69. Nicolae Popovici:
An embedding
approach to characterize coneconvex setvalued fuctions, Research Seminar,
Department of Economics, University of Insubria,
Varese, Italy, September 8, 2015 http://www.eco.uninsubria.it/site/dipartimento/ricerca/seminari/
CS70. Nicolae Popovici:
(invited speaker): A
decomposition approach to nonlinear multicriteria optimization/equilibrium
problems, Riemann International School of Mathematics on Nonlinear
Phenomena in Mathematics and Economics  a tribute to John Forbes Nash, Jr.,
Varese, September 1418, 2015 http://www.rism.it/rism4_8.html
CS71. Nicolae Popovici:
New classes of generalized convex setvalued
functions defined by an embedding approach, Seminar of the Research Group on Analysis and Optimization, BabeşBolyai University, ClujNapoca, Romania, October
10, 2015, http://www.cs.ubbcluj.ro/~grupanopt/
CS72. Szilárd László:
Some minimax results on dense sets and an extension
of James’ Theorem, Seminar of the Research Group on Analysis and Optimization, BabeşBolyai University, ClujNapoca, Romania,
November 5, 2015, http://www.cs.ubbcluj.ro/~grupanopt/
CS73. Cornel Pintea:
The convex LusternikSchnirelmann
category, Seminar of the Research Group on Analysis and Optimization, BabeşBolyai University, ClujNapoca, Romania,
November 12, 2015, http://www.cs.ubbcluj.ro/~grupanopt/
CS74. Cornel Pintea:
Minimal convex decompositions by maximal
convex subsets, Seminar of the Research Group on Analysis and Optimization,
BabeşBolyai University, ClujNapoca, Romania,
November 26, 2015, http://www.cs.ubbcluj.ro/~grupanopt/
CS75. PetraRenáta Takács: New shortstep interiorpoint
algorithm for horizontal linear complementarity problems, International Scientific
Conference of Young Engineers, ClujNapoca, March 1718, 2016, http://www.eme.ro/fmtu/program.htm
CS76. Gábor Kassay: Existence results for vector
equilibrium problems given by a sum of two functions, Research Seminar "Equilibrium
Problems", School of Applied Mathematics and Informatics, Hanoi University
of Science and Technology, Vietnam, April 5, 2016.
CS77. Gábor Kassay: The equilibrium problem: a
unified approach to optimization,minimax problems (game theory), variational
inequalities and other interesting problems, Invited lecture at Vietnam Academy of Science
and Technology, Institute of Mathematics, Vietnam Academy of Science and
Technology, Hanoi, Vietnam, April 8, 2016, http://math.ac.vn/en/icalrepeat.detail/2016/04/08/2444//theequilibriumproblemaunifiedapproachtooptimizationminimaxproblemsgametheoryvariationalinequalitiesandotherinterestingproblems.html
CS78. Gábor Kassay: On a Generalized Proximal Point
Method for Equilibrium Problems in Banach spaces. WellPosedness for
Equilibrium Problems, Research Seminar "Equilibrium Problems", School of Applied
Mathematics and Informatics, Hanoi University of Science and Technology,
Vietnam, April 12, 2016.
CS79. Gábor Kassay: Research on equilibrium problems
at Hanoi University of Science and Technology, Seminar of the Research Group on Analysis and
Optimization, BabeşBolyai University, ClujNapoca,
Romania, April 21, 2016, http://www.cs.ubbcluj.ro/~grupanopt/
CS80. Nicolae Popovici: A decomposition approach
to vector optimization and equilibrium problems, Research Seminar, Department of Computing and Mathematics, University
of Derby, UK, May 11, 2016.
CS81. Gábor Kassay: Stability of equilibria via
regularity of the diagonal subdifferential operators, Seminar of the Research Group on Analysis and Optimization, BabeşBolyai University, ClujNapoca, Romania, May 12,
2016, http://www.cs.ubbcluj.ro/~grupanopt/
CS82. Nicolae Popovici: Clase speciale de funcṭii multivoce generalizat
convexe, A XXa Conferinţă Anuală a Societăţii de Ştiinţe
Matematice din România, Baia Mare, 1922 mai 2016, http://icam.ubm.ro/
CS83. Mihaela Miholca
(Bercheşan): Existence
results for vector equilibrium problems given by a sum of two functions, 28th European Conference on
Operational Research, July 36, 2016, Poznan, Poland, http://www.euro2016.poznan.pl/
CS84. Cornel Pintea: Monotone operators.
Applications, The 15th International Conference on Applied Mathematics and
Computer Science, July 57, 2016, ClujNapoca, Romania, http://www.tucn.ro/angheluta2016/.
CS85. Szilárd László:
The minimization problem of a convex function on
dense sets, The 15th International Conference on Applied Mathematics and Computer
Science, July 57, 2016, ClujNapoca, Romania, http://www.tucn.ro/angheluta2016/
CS86. Gábor Kassay: Vector quasiequilibrium problems for the sum
of two multivalued mappings,
The Fifth International Conference on Continuous Optimization, Tokyo, August
611, 2016, http://www.iccopt2016.tokyo/program/index.html
CS87. PetraRenáta Takács: New search directionbased
interiorpoint algorithm for P*(K) horizontal linear complementarity problems
over Cartesian product of symmetric cones, The Fifth International Conference on Continuous
Optimization, Tokyo, August 611, 2016, http://www.iccopt2016.tokyo/program/index.html
CS88. Szilárd László:
Minimax Results on Dense Sets, 13čme Colloque FrancoRoumain de
Mathématiques Appliquées, 2529 August 2016, Iasi, Romania, http://www.math.uaic.ro/cfr2016/ .
Ph.D.
and habilitation dissertations
PhD1. Boglarka BurjanMosoni:
The equilibrium problem and applications
(Ph.D. Supervisor: Professor Gábor Kassay), Faculty of Mathematics and Computer
Science, BabeşBolyai University,
ClujNapoca, Romania, Ph.D.
Dissertation defended on March 9, 2012 (Summary available here).
PhD2. Erika Nagy: Numerical
methods for approximating zeros of operators and for solving variational
inequalities with applications (Ph.D. Supervisor:
Professor Gábor
Kassay),
Faculty of Mathematics and Computer Science, BabeşBolyai
University, ClujNapoca, Romania, Ph.D.
Dissertation defended on September 26, 2013 (Summary available here).
PhD3. Mihaela Miholca
(Bercheşan): Contributions
to the Theory of Equilibrium Problems and Variational Inequalities (Ph.D.
Supervisor: Professor Gábor Kassay), Faculty of Mathematics and Computer
Science, BabeşBolyai University,
ClujNapoca, Romania, Ph.D.
Dissertation defended on June 6, 2014 (Summary available here).
Habil1. Nicolae Popovici: The role of
generalized convexity in vector optimization and related variational problems, Habilitation Thesis, Faculty
of Mathematics and Computer Science, BabeşBolyai University, ClujNapoca,
Romania, defended
on March 25, 2016 (Summary available here).
·
Lecturer Ovidiu BAGDASAR, Ph.D. (University of
Derby, U.K.)

Research visit at
BabeşBolyai University, ClujNapoca, May 15  June 5, 2014;

Invited talk: On some properties and applications of Horadam sequences, Seminar of the Research
Group on Analysis and Optimization, BabeşBolyai
University, Faculty of Mathematics
and Computer Science, ClujNapoca, Romania, May 29, 2014, http://www.cs.ubbcluj.ro/~grupanopt/

Invited talk: Recurrent sequences and the Mathematics of beauty, Interdisciplinary Seminar, May 30,
2014,Faculty of Mathematics and Computer Science, http://www.cs.ubbcluj.ro/sesiunedeprelegeriinvitatepetemedecercetareinterdisciplinara2/
·
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,
April 2428, 2012;

Research visit at
BabeşBolyai University, Faculty
of Mathematics and Computer Science, ClujNapoca,
May 26, 2016;
·
Professor Radu Ioan BOŢ, Ph.D. (University
of Vienna, Austria)

Research visit at
BabeşBolyai University, Faculty
of Mathematics and Computer Science, ClujNapoca,
March 2124, 2016;

Invited talk: A primaldual DouglasRachford type algorithm for nonsmooth convex
optimization problems with complex structures, Seminar of the Research Group on Analysis
and Optimization, BabeşBolyai University, Faculty of Mathematics and Computer Science, ClujNapoca, Romania, March
24, 2016, http://www.cs.ubbcluj.ro/~grupanopt/
·
Professor Marco CASTELLANI, Ph.D. (Universita
degli Studi dell'Aquila, Italy)

Research visit at
BabeşBolyai University, Faculty
of Mathematics and Computer Science, ClujNapoca,
October 2027, 2012;

Invited talk: Existence
of solutions and stability for equilibrium problems, Seminar of the Research Group on Analysis
and Optimization, BabeşBolyai University,
ClujNapoca, Romania, October 25, 2012, http://www.cs.ubbcluj.ro/~grupanopt/
;

Research visit at
BabeşBolyai University, Faculty
of Mathematics and Computer Science, ClujNapoca,
June 1015, 2016;
·
Christian GÜNTHER, Ph.D. student (Martin Luther University, HalleWittenberg, Germany);

Invited talk: Relationships between constrained and unconstrained multiobjective
optimization,
Seminar of the Research Group on Analysis and Optimization, BabeşBolyai
University, Faculty of Mathematics
and Computer Science, ClujNapoca, Romania, April 28, 2016, http://www.cs.ubbcluj.ro/~grupanopt/
·
Professor Boris S. MORDUKHOVICH, Ph.D. (Wayne State University, Detroit, USA)

Research visit at
BabeşBolyai University, Faculty
of Mathematics and Computer Science, ClujNapoca,
June 813, 2013;

Doctor Honoris
Causa speech, BabeşBolyai University, ClujNapoca, June 12, 2013, (English
and Romanian versions are available here)
·
Professor Rita PINI, Ph.D. (Universita degli
Studi di Milano Bicocca, Italy)

Research visit at
BabeşBolyai University, Faculty
of Mathematics and Computer Science, ClujNapoca,
April 2428, 2012;

Research visit at
BabeşBolyai University, Faculty
of Mathematics and Computer Science, ClujNapoca,
May 26, 2016.
The Scientific Report No.1 (on the period of 05.10.2011 – 15.12.2011) is available here
The Scientific Report No.2 (on the period of 16.12.2011 – 15.12.2012) is available here
The Scientific Report No.3 (on the period of 16.12.2012 – 15.12.2013) is available here
The Scientific Report No.4 (on the period of 16.12.2013 – 31.12.2014) is available here
The Scientific Report No.5 (on the period of 01.01.2015 – 31.12.2015) is available here
The Scientific Report No.6 (on the period of 01.01.2016 – 04.10.2016) is available here
Updated by Nicolae Popovici
on April 3, 2017