关系论耦合不动点定理

IF 0.3 Q4 MATHEMATICS Journal of Mathematical Analysis Pub Date : 2022-06-30 DOI:10.54379/jma-2022-3-4

Faruk Sk, Faizan AHMAD KHAN, Qamrul HAQ KHAN

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引用次数: 0

摘要

本文引入映射的混合r -单调性，利用该性质研究了具有二元关系r的度量空间中耦合不动点的存在唯一性，并利用关系理论的方法给出了没有混合单调性的映射的耦合不动点结果。我们的结果推广了一些著名的耦合不动点定理。此外，我们给出了一些说明性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。

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RELATION-THEORETIC COUPLED FIXED POINT THEOREMS

In this paper, we introduce mixed R-monotone property of a mapping and utilize the same to investigate existence and uniqueness of coupled fixed points in a metric space endowed with a binary relation R. Moreover, we present some coupled fixed point results for mappings without mixed monotone property using relation-theoretic approach. Our results generalize some well-known coupled fixed points theorems. Further, we give some illustrative examples in support of our results.

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