Inequality Problems of Equilibrium Problems with Application

Abstract

This paper aims at establishing the existence of results for a nonstandard equilibrium problems $(EP_{N})$. The solutions of this inequality are discussed in a subset $K$ (either bounded or unbounded) of a Banach spaces $X$. Moreover, we enhance the main results by application of some differential inclusion.

Keywords

• Monotone bifunction
• Equilibrium problem
• KKM technique
• Differential inclusion