Vector Equilibrium Problems. Existence Theorems and Convexity of Solution Set

Authors:
Jun-Yi Fu
Affiliations:
Department of Mathematics, Nanchang University, Nanchang, China 330047
Venue:
Journal of Global Optimization
Year:
2005

Citing 2
Cited 2

Generalized quasiconvexities, cone saddle points, and minimax theorem for vector-valued functions

Journal of Optimization Theory and Applications
Vector equilibrium problems with generalized monotone bifunctions

Journal of Optimization Theory and Applications

Existence of solutions for generalized equilibrium problem in G-convex space

Computers & Mathematics with Applications
Continuity of the solution mappings to parametric generalized strong vector equilibrium problems

Journal of Global Optimization

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Abstract

The natural quasi-concavity of set-valued mappings in an ordered vector space is introduced. Existence theorems for vector equilibrium problems involving set-valued monotone mappings are obtained and the convexity of the solution set is shown.