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Relation-preserving generalized nonlinear contractions and related fixed point theorems
Journal article   Open access  Peer reviewed

Relation-preserving generalized nonlinear contractions and related fixed point theorems

Faruk Sk, Faizan Ahmad Khan, Qamrul Haq Khan, Aftab Alam and Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India
AIMS mathematics, Vol.7(4), pp.6634-6649
01/01/2022
DOI: https://doi.org/10.3934/math.2022370

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we present some fixed point theorems for generalized nonlinear contractions involving a new pair of auxiliary functions in a metric space endowed with a locally finitely T-transitive binary relation. Our newly proved results generalize some well-known fixed point theorems existing in the literature. We also provide an example which substantiates the utility of our results.
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https://doi.org/10.3934/math.2022370View
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