Equilibrium Problems with Generalized Relaxed (η - α)-Pseudomonotone and Strictly 77-Quasimonotone Mappings in Banach Spaces

摘要

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.