Convergence theorems for Suzuki generalized nonexpansive mapping in Banach spaces

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Published: Feb 1, 2023
DOI: https://doi.org/10.5556/j.tkjm.54.2023.3943
Keywords:
Uniformly Convex Banach Spaces, Suzuki Generalized Nonexpansive Mapping, Fixed Point, Iteration Scheme.

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Abdulhamit Ekinci
Department of Mathematics Art and Science Faculty Adıyaman University, 02040, Adıyaman, Turkey.
Seyit Temir
Department of Mathematics Art and Science Faculty Adıyaman University, 02040, Adıyaman, Turkey.

Abstract

In this paper, we study a new iterative scheme to approximate fixed point of Suzuki nonexpansive type mappings in Banach space. We also prove
some weak and strong theorems for Suzuki nonexpansive type
mappings. Numerical example is given to show the efficiency of new
iteration process. The results obtained in this paper improve the
recent ones announced by B. S. Thakur et al. \cite{Thakur}, Ullah
and Arschad \cite{UA}.

Article Details

How to Cite
Ekinci, A. ., & Temir, S. . (2023). Convergence theorems for Suzuki generalized nonexpansive mapping in Banach spaces. Tamkang Journal of Mathematics, 54(1), 57–67. https://doi.org/10.5556/j.tkjm.54.2023.3943
Issue
Vol. 54 No. 1 (2023)
Section
Papers
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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

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