Strong convergence of three-step iterative process with errors for three multivalued mappings

TL;DR

This paper introduces a new three-step iterative process with errors for three multivalued mappings in Banach spaces, proving strong convergence theorems and generalizing previous results in the field.

Contribution

The paper presents a novel three-step iterative process with errors for multivalued mappings, extending existing convergence results in uniformly convex Banach spaces.

Findings

Established strong convergence theorems for the iterative process.

Generalized recent results in the literature.

Applicable to multivalued mappings satisfying condition (C).

Abstract

In this paper, we introduced a three-step iterative process with errors for three multivalued mappings satisfying the condition (C) in uniformly convex Banach spaces and establish strong convergence theorems for the proposed process under some basic boundary conditions. Our results generalized recent known results in the literature.