ON THE SOLVABILITY OF GENERALIZED SET-VALUED EQUILIBRIUM PROBLEMS

PARIN  CHAIPUNYA; POOM  KUMAM

ON THE SOLVABILITY OF GENERALIZED SET-VALUED EQUILIBRIUM PROBLEMS

Authors

PARIN CHAIPUNYA King Mongkut's University of Technology Thonburi (KMUTT)
POOM KUMAM King Mongkut's University of Technology Thonburi (KMUTT)

Keywords:

Generalized equilibrium, multiobjective optimization, set-valued optimization

Abstract

In this present article, we consider the generalized equilibria accompanied with certain multi-objective multifunctions. This class unifies numbers of problems surfaced in the area of optimization including the well-known mixed equilibrium problems. Some theorems are adopted, under the conventional assumptions of continuity, convexity, and coercivity on the objective functions, guaranteeing that these functions enjoy the existence of such equilibria. The consequences of this generalized class are of course studied and presented as well.