Convergence Theorem for Solving Split Equality Fixed Point Problem of Asymtotically Quasi-nonexpansive Semigroups in Hilbert Spaces

Sompob Saelee, Poom Kumam, Juan Martinez-Moreno

Abstract

In this article, we introduce new iteration method for solving a split equality common fixed point problem of asymptotically quasi-nonexpansive semigroups in Hilbert space. The weak and strong convergence theorems of the iteration are proved. Moreover, for applications, we utilize our results to study the split equality variational inequality problem, and the split equality equilibrium problem. the results presented in the article are new and generalize of some recent corresponding results.