Efficient solutions and optimality conditions for vector equilibrium problems

Necessary optimality conditions for efficient solutions of unconstrained and vector equilibrium problems with equality and inequality constraints are derived. Under assumptions on generalized convexity, necessary optimality conditions for efficient solutions become sufficient optimality conditions....

Full description

Saved in:
Bibliographic Details
Published inMathematical methods of operations research (Heidelberg, Germany) Vol. 79; no. 2; pp. 163 - 177
Main Authors Van Luu, Do, Hang, Dinh Dieu
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2014
Springer Nature B.V
Subjects
Analysis
Business and Management
Calculus of Variations and Optimal Control; Optimization
Convex analysis
Convexity
Equilibrium
Inequalities
Inequality
Mathematical analysis
Mathematical functions
Mathematics
Mathematics and Statistics
Operations research
Operations Research/Decision Theory
Optimization
Order disorder
Original Article
Studies
Vector space
Vectors (mathematics)
Clarke subdifferentials
Quasiconvex functions
Quasiinteriors
Pseudoconvex functions
Quasirelative interiors
90C46
49J52
Dini subdifferentials
Efficient solutions
91B50
Online AccessGet full text

Cover

More Information
Summary:Necessary optimality conditions for efficient solutions of unconstrained and vector equilibrium problems with equality and inequality constraints are derived. Under assumptions on generalized convexity, necessary optimality conditions for efficient solutions become sufficient optimality conditions. Note that it is not required here that the ordering cone in the objective space has a nonempty interior.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1432-2994
1432-5217
DOI:10.1007/s00186-013-0457-2