完全偏$b_{v}左(右)$-度量空间中geragty型收缩映射的不动点定理

Q4 Mathematics

Communications in Mathematical Analysis Pub Date : 2021-02-13 DOI:10.22130/SCMA.2020.127414.799

Ebru Altiparmak, Ibrahim Karahan

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引用次数: 0

摘要

本文给出了完备部分$b_{v}（s）$-度量空间中广义Geraghty型收缩映射不动点存在唯一的充要条件。由于所考虑的空间，这些结果比文献中存在的几个结果更为普遍。给出了一个数值例子来支持所获得的结果。同时，作为一个应用，验证了积分方程解的存在性和唯一性。

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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Fixed Point Theorems for Geraghty Type Contraction Mappings in Complete Partial $b_{v}left( sright) $-Metric Spaces

In this paper, necessary and sufficient conditions for the existence and uniqueness of fixed points of generalized Geraghty type contraction mappings are given in complete partial $b_{v}(s) $-metric spaces. The results are more general than several results that exist in the literature because of the considered space. A numerical example is given to support the obtained results. Also, the existence and uniqueness of the solutions of an integral equation has been verified considered as an application.

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来源期刊

Communications in Mathematical Analysis Mathematics-Applied Mathematics

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