部分序b-度量空间中概广义α -可容许Z -收缩的不动点结果

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2021-11-16 DOI:10.1155/2021/5988007

Solomon Gebregiorgis Teweldemedhin, Kidane Koyas Tola

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引用次数: 0

摘要

本文利用模拟函数引入了一种几乎广义的α -可容许Z -收缩，并研究了部分有序b-度量空间的不动点结果。本文的结果推广和统一了现有文献中几个相关的不动点结果。最后，通过两个算例验证了我们的结果。此外，我们的一个不动点结果被用于保证一个积分方程解的存在性。

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

Fixed Point Results for an Almost Generalized α -Admissible Z -Contraction in the Setting of Partially Ordered b-Metric Spaces

In this paper, we introduce an almost generalized α -admissible Z -contraction with the help of a simulation function and study fixed point results in the setting of partially ordered b-metric spaces. The presented results generalize and unify several related fixed point results in the existing literature. Finally, we verify our results by using two examples. Moreover, one of our fixed point results is applied to guarantee the existence of a solution of an integral equation.

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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.