A hybrid iteration scheme for equilibrium problems, variational inequality problems and common fixed point problems in Banach spaces

Abstract

In this paper, we introduce an iterative process which converges strongly to a common element of a set of common fixed points of finite family of closed relatively quasi-nonexpansive mappings, the solution set of generalized equilibrium problem and the solution set of the variational inequality problem for an α -inverse strongly monotone mapping in Banach spaces.