Approximation of fixed points of nonexpansive mappings and quasinonexpansive mappings in a Hilbert space

TL;DR

This paper provides a simplified proof and generalizations of existing results on fixed points of nonexpansive and quasinonexpansive mappings in Hilbert spaces, advancing theoretical understanding.

Contribution

It introduces a more straightforward proof technique and extends previous results in the theory of fixed points for these mappings.

Findings

Simplified proof of fixed point theorems

Generalizations of existing results

Enhanced theoretical framework

Abstract

In this paper, we give a simple proof and some generalizations of results in Falset, Llorens-Fuster, Marino, and Rugiano (2016).