Connected ϵ-Chainable Sets and Existence Results

In the setting of ϵ-chainable metric spaces, we introduce ϵ−ρ−σ uniformly local weak contraction and obtain some results on the existence of fixed points. To show the veracity of the results, we also constructed some examples.

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Main Authors: Samir Kumar Bhandari, Sumit Chandok, Bishnupada Jana, Radha Binod Das
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2023/3051602
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author Samir Kumar Bhandari
Sumit Chandok
Bishnupada Jana
Radha Binod Das
author_facet Samir Kumar Bhandari
Sumit Chandok
Bishnupada Jana
Radha Binod Das
author_sort Samir Kumar Bhandari
collection DOAJ
description In the setting of ϵ-chainable metric spaces, we introduce ϵ−ρ−σ uniformly local weak contraction and obtain some results on the existence of fixed points. To show the veracity of the results, we also constructed some examples.
format Article
id doaj-art-1406e1dd618f4f9c9dd57a8e20bd6b9e
institution Kabale University
issn 1687-0425
language English
publishDate 2023-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-1406e1dd618f4f9c9dd57a8e20bd6b9e2025-08-20T03:54:33ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252023-01-01202310.1155/2023/3051602Connected ϵ-Chainable Sets and Existence ResultsSamir Kumar Bhandari0Sumit Chandok1Bishnupada Jana2Radha Binod Das3Department of MathematicsSchool of MathematicsIndependent ResearcherBarkhali High SchoolIn the setting of ϵ-chainable metric spaces, we introduce ϵ−ρ−σ uniformly local weak contraction and obtain some results on the existence of fixed points. To show the veracity of the results, we also constructed some examples.http://dx.doi.org/10.1155/2023/3051602
spellingShingle Samir Kumar Bhandari
Sumit Chandok
Bishnupada Jana
Radha Binod Das
Connected ϵ-Chainable Sets and Existence Results
International Journal of Mathematics and Mathematical Sciences
title Connected ϵ-Chainable Sets and Existence Results
title_full Connected ϵ-Chainable Sets and Existence Results
title_fullStr Connected ϵ-Chainable Sets and Existence Results
title_full_unstemmed Connected ϵ-Chainable Sets and Existence Results
title_short Connected ϵ-Chainable Sets and Existence Results
title_sort connected ϵ chainable sets and existence results
url http://dx.doi.org/10.1155/2023/3051602
work_keys_str_mv AT samirkumarbhandari connectedechainablesetsandexistenceresults
AT sumitchandok connectedechainablesetsandexistenceresults
AT bishnupadajana connectedechainablesetsandexistenceresults
AT radhabinoddas connectedechainablesetsandexistenceresults