A Strong Convergence Theorem for finite families of Bregman Demimetric Mappings in a Banach Space under a New Shrinking projection Method

TL;DR

This paper establishes a strong convergence theorem for finite families of Bregman Demimetric mappings in Banach spaces using a novel shrinking projection method, advancing the theoretical understanding of these mappings.

Contribution

It introduces a new shrinking projection method to prove strong convergence for Bregman Demimetric mappings in Banach spaces, which is a novel approach in this context.

Findings

Proves strong convergence under the new method

Extends existing convergence results to Bregman Demimetric mappings

Provides a framework for future research in Banach space mappings

Abstract

A Strong Convergence Theorem for finite families of Bregman Demimetric Mappings in a Banach Space under a New Shrinking projection Method