Iterative approximation of zeroes of monotone operators and system of generalized mixed equilibrium problems

Abstract

In this paper, we construct a new iterative scheme by hybrid method for approximation of common element of set of zeroes of a finite family of α-inverse-strongly monotone operators and set of common solutions to a system of generalized mixed equilibrium problems in a 2-uniformly convex real Banach space which is also uniformly smooth. Then, we prove strong convergence of the scheme to a common element of the two sets.