Employing Locally Finitely T-Transitive Binary Relations to Prove Coincidence Theorems for Nonlinear Contractions

Employing Locally Finitely T-Transitive Binary Relations to Prove Coincidence Theorems for Nonlinear Contractions

In this article, we prove some relation-theoretic results on coincidence and common fixed point for a nonlinear contraction employing a locally finitely T-transitive binary relation, where T stands for a self-mapping on the underlying metric space. Our newly proved results deduce sharpened versions...

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Main Authors: Mohammad Arif, Idrees A. Khan, Mohammad Imdad, Aftab Alam
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/6574695
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spelling doaj-1abaf8ec252f46f0b431dba6a99cf6542020-11-25T02:16:38ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/65746956574695Employing Locally Finitely T-Transitive Binary Relations to Prove Coincidence Theorems for Nonlinear ContractionsMohammad Arif0Idrees A. Khan1Mohammad Imdad2Aftab Alam3Department of Mathematics, Aligarh Muslim University, Aligarh-202002, IndiaDepartment of Mathematics, Integral University, Lucknow 226026, UP, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh-202002, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh-202002, IndiaIn this article, we prove some relation-theoretic results on coincidence and common fixed point for a nonlinear contraction employing a locally finitely T-transitive binary relation, where T stands for a self-mapping on the underlying metric space. Our newly proved results deduce sharpened versions of certain relevant results of the existing literature. Finally, we adopt some examples to substantiate the genuineness of our proved results herein.http://dx.doi.org/10.1155/2020/6574695
collection DOAJ
language English
format Article
sources DOAJ
author Mohammad Arif
Idrees A. Khan
Mohammad Imdad
Aftab Alam
spellingShingle Mohammad Arif
Idrees A. Khan
Mohammad Imdad
Aftab Alam
Employing Locally Finitely T-Transitive Binary Relations to Prove Coincidence Theorems for Nonlinear Contractions
Journal of Function Spaces
author_facet Mohammad Arif
Idrees A. Khan
Mohammad Imdad
Aftab Alam
author_sort Mohammad Arif
title Employing Locally Finitely T-Transitive Binary Relations to Prove Coincidence Theorems for Nonlinear Contractions
title_short Employing Locally Finitely T-Transitive Binary Relations to Prove Coincidence Theorems for Nonlinear Contractions
title_full Employing Locally Finitely T-Transitive Binary Relations to Prove Coincidence Theorems for Nonlinear Contractions
title_fullStr Employing Locally Finitely T-Transitive Binary Relations to Prove Coincidence Theorems for Nonlinear Contractions
title_full_unstemmed Employing Locally Finitely T-Transitive Binary Relations to Prove Coincidence Theorems for Nonlinear Contractions
title_sort employing locally finitely t-transitive binary relations to prove coincidence theorems for nonlinear contractions
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2020-01-01
description In this article, we prove some relation-theoretic results on coincidence and common fixed point for a nonlinear contraction employing a locally finitely T-transitive binary relation, where T stands for a self-mapping on the underlying metric space. Our newly proved results deduce sharpened versions of certain relevant results of the existing literature. Finally, we adopt some examples to substantiate the genuineness of our proved results herein.
url http://dx.doi.org/10.1155/2020/6574695
work_keys_str_mv AT mohammadarif employinglocallyfinitelyttransitivebinaryrelationstoprovecoincidencetheoremsfornonlinearcontractions
AT idreesakhan employinglocallyfinitelyttransitivebinaryrelationstoprovecoincidencetheoremsfornonlinearcontractions
AT mohammadimdad employinglocallyfinitelyttransitivebinaryrelationstoprovecoincidencetheoremsfornonlinearcontractions
AT aftabalam employinglocallyfinitelyttransitivebinaryrelationstoprovecoincidencetheoremsfornonlinearcontractions
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