Data dependence results of a new multistep and S-iterative schemes for contractive-like operators

TL;DR

This paper introduces new multistep and S-iterative schemes for approximating fixed points of contractive-like operators, providing convergence and data dependence results that extend existing literature.

Contribution

It presents novel iteration schemes and proves their convergence and data dependence properties, improving upon previous results in fixed point theory.

Findings

Convergence of new iteration schemes established

Data dependence results derived for contractive-like operators

Extensions of known fixed point results achieved

Abstract

In this paper, we prove that convergence of a new iteration and S-iteration can be used to approximate to the fixed points of contractive-like operators. We also prove some data dependence results of this new iteration and S-iteration schemes for contractive-like operators. Our results extend and improve some known results in the literature.