Strong Convergence of Krasnoselskii–Mann Process for Nonexpansive Evolution Families

Author:

Shah Musharaf1,Rahmat Gul1ORCID,Ali Shah Syed Inayat1,Shah Zahir2ORCID,Deebani Wejdan3ORCID

Affiliation:

1. Department of Mathematics, Islamia College University Peshawar, Peshawar, Khyber Pakhtunkhwa, Pakistan

2. Department of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat 28420, Khyber Pakhtunkhwa, Pakistan

3. Department of Mathematics College of Science and Arts, Rabigh King Abdul-Aziz University, Rabigh 21911, Saudi Arabia

Abstract

This article is about investigating Krasnoselskii and Mann’s convergence theorems for nonexpansive evolution family with Bochner integral and without convexity of Banach space. We introduced a general form of these results that extends these results to general form of semigroup called evolution families.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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