Approximation of common fixed points of strongly nonexpansive sequences in a Banach space

TL;DR

This paper proves a strong convergence theorem for strongly nonexpansive sequences in Banach spaces and explores related applications, advancing understanding of fixed point approximations in functional analysis.

Contribution

It introduces a new strong convergence theorem for strongly nonexpansive sequences in Banach spaces, with practical applications.

Findings

Established a strong convergence theorem for strongly nonexpansive sequences.

Provided applications demonstrating the theorem's utility.

Enhanced theoretical understanding of fixed point approximations.

Abstract

The aim of this paper is to establish a strong convergence theorem for a strongly nonexpansive sequence in a Banach space. We also deal with some applications of the convergence theorem.