广义循环巴拿赫代数的公共不动点和锥拟度量空间上巴拿赫代数的Kannan型映射

Journal of Nonlinear Sciences and Applications Pub Date : 2019-06-10 DOI:10.22436/JNSA.012.10.03

Sahar Mohamed Ali Abou Bakr

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引用次数: 4

摘要

本文证明了在完全锥拟度量空间C上关于Banach代数定义的两个自映射的唯一公共不动点的存在性，因此，证明了关于完全锥拟度量空间c的一对非空子集(a,B)的广义循环巴拿赫代数压缩和循环巴拿赫代数Kannan型映射的一个不动点的存在性。这些不动点的存在性推广了所附参考文献的不动点结果，并推广了通常巴拿赫空间中相应的经典结果。

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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Common fixed point of generalized cyclic Banach algebra contractions and Banach algebra Kannan types of mappings on cone quasi metric spaces

This paper proves the existence of a unique common fixed point of two self mappings defined on complete cone quasi metric space C with respect to Banach algebra, consequently in particular, it proves the existence of only one fixed point of a generalized cyclic Banach algebra contraction and a cyclic Banach algebra Kannan type mappings with respect to a couple of non empty subsets (A,B) of a complete cone quasi metric space C. These existences extend the fixed point results of the attached references and then generalized the corresponding classical results in usual Banach spaces as well.

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来源期刊

Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

自引率

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发文量

期刊介绍： The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.