Fixed point and common fixed point theorems on ordered cone b-metric space over Banach algebra

Journal of Nonlinear Sciences and Applications Pub Date : 2019-08-28 DOI:10.22436/jnsa.013.01.03

Sharafat Hussain

引用次数: 8

Abstract

In this work, we obtain some fixed point and common fixed point theorems of comparable maps satisfying certain contractive conditions on partially ordered cone b-metric space over Banach algebras. Some examples are also provided to illustrate the main results presented in this paper, which extend and generalize several known results in cone b-metric spaces.

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Banach代数上有序锥b-度量空间上的不动点和公共不动点定理

在Banach代数上，得到了部分序锥b-度量空间上满足某些压缩条件的可比映射的不动点定理和公共不动点定理。最后给出了一些例子来说明本文的主要结果，这些结果推广和推广了锥b-度量空间中的一些已知结果。

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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来源期刊

Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

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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.