Convergence for a Fixed Point of Evolution Families in Banach Space via Iterative Process

Author:

Shah Musharaf1,Rahmat Gul1,Shah Syed Inayat Ali1,Bonyah Ebenezer2ORCID,Shah Zahir3ORCID,Shutaywi Meshal4ORCID

Affiliation:

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

2. Department of Mathematics Education, University of Education Winneba Kumasi-(kumasicompus), Kumasi 00233, Ghana

3. Department of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat 28420, KPK, Pakistan

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

Abstract

In this paper, we present the convergence of Krasnoselskii Mann iterative process for common fixed points of pointwise Lipschitzian evolution family of bounded nonlinear operators on a Banach space .

Publisher

Hindawi Limited

Subject

General Mathematics

Reference33 articles.

1. A common fixed point theorem for a commuting family of nonexpansive mappings

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3. A fixed point theorem for families of nonexpansive mappings, Pacific;T. C. Lim;Journal of Mathematics,1974

4. Asymptotic poinywise contractions;W. A. Kirk;Nonlinear Anal,2008

5. Common fixed-points for commuting contraction mappings, Pacific;R. E. DeMarr;Journal of Mathematics,1963

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