Some Convergence Results for a Class of Generalized Nonexpansive Mappings in Banach Spaces-Reference-Cited by-同舟云学术

Some Convergence Results for a Class of Generalized Nonexpansive Mappings in Banach Spaces

Published:2021-02-27 Issue: Volume:2021 Page:1-6
ISSN:1687-9139
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Abdeljawad Thabet¹²³^ORCID,Ullah Kifayat⁴^ORCID,Ahmad Junaid⁴^ORCID,de la Sen Manuel⁵^ORCID,Khan Muhammad Naveed⁴

Affiliation:

1. Department of Mathematics and General Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia

2. Department of Medical Research, China Medical University, 40402 Taichung, Taiwan

3. Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan

4. Department of Mathematics, University of Science and Technology, Bannu, 28100 Khyber Pakhtunkhwa, Pakistan

5. Institute of Research and Development of Processes, University of the Basque Country, Campus of Leioa (Bizkaia), P.O. Box 644-Bilbao, Barrio Sarriena, 48940 Leioa, Spain

Abstract

This paper investigates fixed points of Reich-Suzuki-type nonexpansive mappings in the context of uniformly convex Banach spaces through an

M^{*}

iterative method. Under some appropriate situations, some strong and weak convergence theorems are established. To support our results, a new example of Reich-Suzuki-type nonexpansive mappings is presented which exceeds the class of Suzuki-type nonexpansive mappings. The presented results extend some recently announced results of current literature.

Funder

Basque Government

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2021/8837317.pdf

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