Fixed Point Theorems in Generalized Banach Algebras and an Application to Infinite Systems in 𝒞([0, 1], c 0) × 𝒞([0, 1], c 0)

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-02-01 DOI:10.1080/01630563.2023.2172033

Bilel Krichen, B. Mefteh, Rahma Taktak

引用次数: 0

Abstract

Abstract The purpose of this paper is to extend Boyd and Wong’s fixed point theorem in complete generalized metric spaces and to apply this result under the so-called G-weak topology in generalized Banach algebras. Some tools will be introduced and involved in our work as the generalized measures of weak non-compactness and the sequential condition Our results will extend many known theorems in the literature. Also, we will give an application for an infinite system of nonlinear integral equations defined on the generalized Banach algebra where c 0 is the space of all real sequences converging to zero.

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广义Banach代数中的不动点定理及其在广义Banach代数中([0,1]，c0) ×广义Banach代数中([0,1]，c0)无限系统中的应用

摘要本文的目的是在完全广义度量空间中推广Boyd和Wong的不动点定理，并将这一结果应用于广义Banach代数中所谓的G-弱拓扑。一些工具将作为弱非紧性的广义测度和序列条件引入并参与我们的工作。我们的结果将推广文献中的许多已知定理。此外，我们还将给出在广义Banach代数上定义的无限非线性积分方程组的一个应用，其中c0是所有实序列收敛到零的空间。

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.

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