部分序b -度量空间中的相关不动点定理及其在积分方程中的应用

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2021-03-15 DOI:10.1155/2021/6672724

Youssef Errai, E. Marhrani, M. Aamri

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引用次数: 5

摘要

本文给出了在部分序完备b -度量空间中定义的广义弱压缩映射的一些相关不动点结果。我们的结果是对先前研究b -度量空间不动点理论的作者的推广。我们给出了一些例子和一个将所得结果应用于积分方程的例子来支持我们的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Related Fixed Point Theorems in Partially Ordered b -Metric Spaces and Applications to Integral Equations

In this research paper, we have set some related fixed point results for generalized weakly contractive mappings defined in partially ordered complete b -metric spaces. Our results are an extension of previous authors who have already worked on fixed point theory in b -metric spaces. We state some examples and one sample of the application of the obtained results in integral equations, which support our results.

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来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.