Diametrically Relatively Nonexpansive Mappings and a Characterization of Proximal Normal Structure

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-05-19 DOI:10.1080/01630563.2023.2212495

R. Gholipour, M. Gabeleh, H. Mazaheri

引用次数: 0

Abstract

Abstract We consider a new type of cyclic (noncyclic) mappings, called diametrically relatively nonexpansive maps which contains properly the class of cyclic (noncyclic) relatively nonexpansive mappings. For such mappings we obtain existence results of best proximity points (pairs) in the framework of Busemann convex spaces and generalize the recent conclusions in this direction. We also present a characterization of proximal normal structure in term of best proximity points (pairs) for diametrically relatively nonexpansive mappings.

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直径相对非膨胀映射和近端正法结构的表征

摘要考虑一类新的循环(非循环)映射，称为直径相对非扩张映射，它适当地包含了循环(非循环)相对非扩张映射的类。对于这类映射，我们得到了Busemann凸空间框架下最佳邻近点(对)的存在性结果，并在此方向上推广了最近的结论。我们还提出了一个关于直径相对非膨胀映射的最佳接近点(对)的近端法线结构的表征。

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.