Convergence Theorems for Suzuki Generalized Nonexpansive Mapping in Banach Spaces

IF 0.7 Q2 MATHEMATICS

Tamkang Journal of Mathematics Pub Date : 2021-11-10 DOI:10.5556/j.tkjm.54.2023.3943

Abdulhamit Ekinci, S. Temir

引用次数: 1

Abstract

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

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Banach空间中Suzuki广义非扩张映射的收敛定理

本文研究了Banach空间中Suzuki非膨胀型映射不动点的一种新的迭代逼近格式。我们还证明了Suzuki非扩张类型的弱定理和强定理。通过数值算例验证了该过程的有效性。本文得到的结果改进了b.s. Thakur等人\cite{Thakur}, Ullahand Arschad \cite{UA}最近公布的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.

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