A Class of Extended Ishikawa Iterative Processes in Banach Spaces for Nonexpansive Mappings

TL;DR

This paper introduces a generalized class of extended Ishikawa iterative processes in Banach spaces, unifying various Mann and Ishikawa methods, and extends existing results in the field.

Contribution

It proposes a new, broad class of iterative processes that unify and extend previous methods for nonexpansive mappings in Banach spaces.

Findings

Generalization of Ishikawa iterative processes

Extension of recent results in iterative methods

Unified framework for Mann and Ishikawa processes

Abstract

A class of extended Ishikowa Iterative processes is proposed and studied, which involves many kinds of Mann and Ishikawa iterative processes. The main conclusion of the present work extends and generalizes some recent results of this research line.