Anul LIV 2009

S T U D I A

UNIVERSITATIS BABEŞ-BOLYAI

MATHEMATICA

3

Redacţia: 400084 Cluj-Napoca, Str. M. Kogălniceanu nr. 1 Tel: 405300

SUMAR – CONTENTS – SOMMAIRE

Monica Boriceanu, Fixed Point Theory for Multivalued Generalized

Contraction on a Set with Two b-Metrics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .................3

Edith Egri and Ioan A. Rus, First Order Functional Differential Equations

with State-Dependent Modified Argument . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................15

Alexandru-Darius Filip and Petra Tunde Petru, Fixed Point Theorems

for Multivalued Weak Contractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............... 33

Anca Grad, Strong and Converse Fenchel Duality for Vector Optimization

Problems in Locally Convex Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...........41

Liliana Guran, Existence and Data Dependence for Multivalued Weakly

Contractive Operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ........67

Gyorgy Kiss, Istvan Kovacs, Klavdija Kutnar, Janos Ruff and Primoz Sparl,

A Note on a Geometric Construction of Large Cayley

Graphs of Given Degree and Diameter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...........77

Zoltan Mako, Extracting Fuzzy If-Then Rule by Using the Information

Matrix Technique with Quasi-Triangular Fuzzy Numbers . . . . . . . . . . . . . . . .....................85

Ildiko Ilona Mezei and Tunde Kovacs, Multiple Solutions for a Homogeneous

Semilinear Elliptic Problem in Double Weighted Sobolev Spaces . . . . . . . . . . . . . . ... 99

Maria Mihoc, About Canonical Forms of the Nomographic Functions . . . . . . . .......... 113

Alexandru Ioan Mitrea, On the Divergence of the Product Quadrature

Procedures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ... 127

Julia Salamon, Closedness of the Solution Map for Parametric Vector

Equilibrium Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .......137

Ilona Simon, The Characters of the Blaschke-Group of the Arithmetic Field . . ...........149

Ioana Camelia Tise, Gronwall Lemmas and Comparison Theorems for the

Cauchy Problem Associated to a Set Differential Equation . . . . . . . . . . . . . ................161

Book Reviews . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . 171