Parallel and Cyclic Algorithms for Quasi-Nonexpansives in Hilbert Space

Abstract

Let ${\{T\}}_{i=1}^N$ be N quasi-nonexpansive mappings defined on a closed convex subset C of a real Hilbert space H. Consider the problem of finding a common fixed point of these mappings and introduce the parallel and cyclic algorithms for solving this problem. We will prove the strong convergence of these algorithms.