C*-algebra valued quasi metric spaces and fixed point results with an application

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2022-10-03 DOI:10.4995/agt.2022.16783

Mohammad Asim, Santosh Kumar, M. Imdad, R. George

引用次数: 0

Abstract

In this paper, we introduce the notion of C*-algebra valued quasi metric space to generalize the notion of C*-algebra valued metric space and investigate the topological properties besides proving some core fixed point results. Finally, we employ our one of the main results to examine the existence and uniqueness of the solution for a system of Fredholm integral equations.

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C*-代数值拟度量空间与不动点结果及其应用

本文引入C*代数值拟度量空间的概念，推广了C*代数值度量空间的概念，在证明一些核心不动点结果的基础上，研究了C*代数值度量空间的拓扑性质。最后，我们利用我们的一个主要结果来检验一类Fredholm积分方程组解的存在唯一性。

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.