Iterative approximation of common fixed points of two nonself asymptotically nonexpansive mappings in CAT(0) spaces with numerical examples

Author:

Kratuloek Kanokwan1ORCID,Kumam Poom12ORCID,Amnuaykarn Kittisak1ORCID,Nantadilok Jamnian3ORCID,Salisu Sani1ORCID

Affiliation:

1. KMUTT Fixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science King Mongkut's University of Technology Thonburi (KMUTT) 126 Pracha‐Uthit Road, Bang Mod, Thung Khru Bangkok 10140 Thailand

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

3. Department of Mathematics, Faculty of Sciences Lampang Rajabhat University Lampang Thailand

Abstract

In this manuscript, we investigate and approximate common fixed points of two nonself asymptotically nonexpansive mappings in the setting of CAT(0) spaces. We provide three examples and conduct numerical experiments to show the implementation of the approximation schemes. Our results extend and improve the related results in the literature.

Funder

Center of Excellence in Theoretical and Computational Science, King Mongkut's University of Technology Thonburi

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference39 articles.

1. R. E.Bruck Asymptotic behavior of nonexpansive mappings Contemp. Math. Vol. 18 Amer. Math. Soc. Providence RI 1983 pp.1–47.

2. Strong and weak convergence theorems for asymptotically nonexpansive mappings

3. Iterative construction of fixed points of nearly asymptotically nonexpansive mappings;Agarwal D.;J. Nonlinear Convex Anal.,2007

4. Fixed points of quasinonexpansive mappings;Das G.;Indian J. Pure Appl. Math.,1986

5. Limit Theorems of Operators by Convex Combinations of Nonexpansive Retractions in Banach Spaces

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