Some fixed point results for enriched nonexpansive type mappings in Banach spaces

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2022-04-01 DOI:10.4995/agt.2022.16165

Rahul Shukla, R. Pant

引用次数: 1

Abstract

In this paper, we introduce two new classes of nonlinear mappings and present some new existence and convergence theorems for these mappings in Banach spaces. More precisely, we employ the Krasnosel'skii iterative method to obtain fixed points of Suzuki-enriched nonexpansive mappings under different conditions. Moreover, we approximate the fixed point of enriched-quasinonexpansive mappings via Ishikawa iterative method.

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Banach空间中富非膨胀型映射的不动点结果

本文引入了两类新的非线性映射，并给出了这些映射在Banach空间中的存在性和收敛性定理。更精确地说，我们采用Krasnosel’skii迭代方法得到了不同条件下的富suzuki非扩张映射的不动点。此外，我们还利用Ishikawa迭代法逼近了富拟扩张映射的不动点。

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

Applied general topology MATHEMATICS-

CiteScore

1.20

自引率

25.00%

发文量

审稿时长

15 weeks

期刊介绍： The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.