RELATION-THEORETIC COUPLED FIXED POINT THEOREMS
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Published:2022-06-30
Issue:3
Volume:13
Page:44-55
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ISSN:2217-3412
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Container-title:Journal of Mathematical Analysis
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language:
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Short-container-title:JMA
Author:
Sk FARUK,AHMAD KHAN FAIZAN,HAQ KHAN QAMRUL
Abstract
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.
Publisher
ILIRIAS Research Institute