Equilibrium problems with generalized relaxed (η - α)-pseudomonotone and strictly η-quasimonotone mappings in banach spaces

Abstract

In this paper, we introduce generalized relaxed η - α pseudomonotone mappings and strictly η-quasimonotone mappings for bi-functions. We prove some existence results of Invex Equilibrium Problem with the η - α pseudomonotone mappings and strictly η-quasimonotone mappings in reflexive Banach space, by using KKM technique. The results proved here extends many corresponding results in the literature.