Convergence of a hybrid iterative process for asymptotically quasi -nonexpansive mappings and generalized mixed variational $\Phi$-like inequality problems in Banach spaces

Abstract

In this paper, we introduce a hybrid iterative process for approximating common elements of  fixed points of asymptotically quasi $\phi$-nonexpansive mappings and solutions of  generalized mixed variational-like inequality problems. After that, we prove a strong convergence result for the proposed iteration in Banach spaces. In addition, we give a numerical example to illustrate the convergence result of  the proposed iteration.