Common new fixed point results on b-cone Banach spaces over Banach algebras

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2022-04-01 DOI:10.4995/agt.2022.15571

H. Afshari, Hadi Shojaat, A. Fulga

引用次数: 1

Abstract

Recently Zhu and Zhai studied the concepts of cone b-norm and cone b-Banach space as generalizations of cone b-metric spaces and theygave a definition of ϕ-operator and obtained some new fixed point theorems in cone b-Banach spaces over Banach algebras by usingϕ-operator. In this paper we propose a notion of quasi-cone over Banach algebras, then by utilizing some new conditions andfollowing their work with introducing two mappings $\mathcal{T}$ and $\mathcal{S}$ we improve the fixed point theorems to the commonfixed point theorems. An example is given to illustrate the usability of the obtained results.

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巴拿赫代数上b锥巴拿赫空间的新不动点结果

最近，Zhu和Zhai研究了锥b-范数和锥b-Banach空间的概念，作为锥b-度量空间的推广，他们给出了一个ϕ-算子的定义，并利用ϕ-算子在Banach代数上得到了锥b-Banach空间中的一些新的不动点定理。本文提出了Banach代数上的拟锥的概念，然后利用一些新的条件，在此基础上引入两个映射$\mathcal{T}$和$\mathcal{S}$，将不动点定理改进为共不动点定理。算例说明了所得结果的可用性。

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.