Existence of Solutions for Generalized Scalar Quasi-Equilibrium Problems Involving Two Bifunctions and Fixed Point Problems on Complete Metric Spaces

Narongrit Puturong, Kasamsuk Ungchittrakool

Abstract

The purpose of this paper is to introduce and study the existence theorem of solutions for generalized scalar quasi-equilibrium problems involving two bifunctions on complete metric spaces. We show the uniqueness of its solution which is also a fixed point of some mappings. We also get new minimax theorem involving two bifunctions on complete metric spaces. Our results can be viewed as a general form and some extensions of some previously existing results.