Fixed Point Theorems for Operators with Certain Condition in p-Uniformly Convex Metric Spaces

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-11-04 DOI:10.1080/01630563.2022.2141256

Mohammad Knefati, V. Karakaya

引用次数: 0

Abstract

Abstract In this paper, firstly, we extend the nonlinear Lebesgue spaces from the setting of Hadamard spaces to the setting of p-uniformly convex metric spaces. Afterward, we establish some Δ-convergence and strong convergence theorems for a recently introduced class of generalized nonexpansive mappings in the setting of p-uniformly convex metric spaces. Furthermore, we employ the newly introduced JK-iteration process to approximate the fixed points of this class. Finally, we construct new examples of this class of mappings in the context of p-uniformly convex metric spaces.

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p-一致凸度量空间中具有一定条件的算子的不动点定理

摘要本文首先将非线性Lebesgue空间从Hadamard空间的设置推广到p-一致凸度量空间的设置。然后，在p-一致凸度量空间中，我们建立了最近引入的一类广义非扩张映射的Δ-收敛性和强收敛性定理。此外，我们使用新引入的JK迭代过程来近似这类的不动点。最后，我们在p-一致凸度量空间中构造了这类映射的新例子。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.