部分有序度量空间中若干具有有理表达式的耦合不动点定理

Q4 Mathematics

Communications in Mathematical Analysis Pub Date : 2021-02-01 DOI:10.22130/SCMA.2020.120323.739

Seshagiri Rao, K. Kalyani

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引用次数: 2

摘要

本文的目的是证明自映射在有序度量空间中满足一定有理型收缩和严格混合单调性质的一些耦合不动点定理。进一步，给出了空间中阶关系下耦合不动点唯一性的一个结果。这些结果推广和扩展了文献中已知的现有结果。

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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On Some Coupled Fixed Point Theorems with Rational Expressions in Partially Ordered Metric Spaces

The aim of this paper is to prove some coupled fixed point theorems of a self mapping satisfying a certain rational type contraction along with strict mixed monotone property in an ordered metric space. Further, a result is presented for the uniqueness of a coupled fixed point under an order relation in a space. These results generalize and extend known existing results in the literature.

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来源期刊

Communications in Mathematical Analysis Mathematics-Applied Mathematics

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