On the Brézis Nirenberg Stampacchia-type theorems and their applications

Abstract

In this paper, we obtain several new generalized KKM-type theorems under a new coercivity condition and the condition of intersectionally closedness which improves condition of transfer closedness. As applications, we obtain new versions of equilibrium problem, minimax inequality, coincidence theorem, fixed point theorem and an existence theorem for an 1-person game. © 2012 Springer Science+Business Media, LLC.