Modular Best Proximity and Equilibrium Pairs in Free Generalized Games

Abstract

In this paper, we prove a fixed point theorem for ‎‎$\rho‎‎$‎‎-acyclic factorizable multifunction. Some existence theorems of general best proximity pairs and equilibrium pairs are presented in modular function spaces. Moreover, some equilibrium theorems are established for free generalized ‎$‎n‎$‎-person game.