EXISTENCE OF SYSTEMS OF GENERALIZED VECTOR QUASI-EQUILIBRIUMS IN PRODUCT FC-SPACES

KAMONRAT  SOMBUT; SOMYOT  PLUBTIENG

EXISTENCE OF SYSTEMS OF GENERALIZED VECTOR QUASI-EQUILIBRIUMS IN PRODUCT FC-SPACES

Authors

KAMONRAT SOMBUT Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
SOMYOT PLUBTIENG Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand

Keywords:

Systems of generalized vector quasi-equilibrium problem, Ci(x)−FC−diagonal quasi-convex, Ci(x)−FC−quasi-convex, Ci(x)−FC−quasi-convex-like, FC-spaces

Abstract

In this paper, three classes of systems of generalized vector quasi-equilibrium problems are introduced and studied in product FCspaceswithoutconvexity structure. We prove some new equilibrium existence theorems for three classes of systems of generalized vector quasi-equilibrium problems in noncompact product FCspaces.These results improve and generalize some recent results in literature to product FCspaceswithout any convexity structure.