Multivalued Mizoguchi-Takahashi type rational contraction in relational metric spaces

In this paper we establish a result in the fixed point theory of multivalued mappings. This is done by combining three prevalent trends in fixed point theory. Some consequences of the main theorem are discussed. We also provide an illustrative example. The results are derived on metric spaces with a...

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Main Authors: Binayak S. Choudhury, Nikhilesh Metiya, Priyam Chakraborty, Sunirmal Kundu
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2023-05-01
Series:Surveys in Mathematics and its Applications
Subjects:
Online Access:https://www.utgjiu.ro/math/sma/v18/p18_05.pdf
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author Binayak S. Choudhury
Nikhilesh Metiya
Priyam Chakraborty
Sunirmal Kundu
author_facet Binayak S. Choudhury
Nikhilesh Metiya
Priyam Chakraborty
Sunirmal Kundu
author_sort Binayak S. Choudhury
collection DOAJ
description In this paper we establish a result in the fixed point theory of multivalued mappings. This is done by combining three prevalent trends in fixed point theory. Some consequences of the main theorem are discussed. We also provide an illustrative example. The results are derived on metric spaces with a relation.
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spelling doaj.art-8cc3ca7375aa44a1846c44728bf0626f2023-05-15T22:15:33ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982023-05-0118 (2023)5972Multivalued Mizoguchi-Takahashi type rational contraction in relational metric spacesBinayak S. Choudhury0Nikhilesh Metiya1Priyam Chakraborty2Sunirmal Kundu3Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711103, West Bengal, India.Department of Mathematics, Sovarani Memorial College, Jagatballavpur, Howrah - 711408, West Bengal, India.Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah - 711103, West Bengal, India.Department of Mathematics, Government General Degree College, Salboni, Paschim Medinipur - 721516, West Bengal, India.In this paper we establish a result in the fixed point theory of multivalued mappings. This is done by combining three prevalent trends in fixed point theory. Some consequences of the main theorem are discussed. We also provide an illustrative example. The results are derived on metric spaces with a relation. https://www.utgjiu.ro/math/sma/v18/p18_05.pdfmt-functionbinary relationmultivalued functionfixed pointrational contraction
spellingShingle Binayak S. Choudhury
Nikhilesh Metiya
Priyam Chakraborty
Sunirmal Kundu
Multivalued Mizoguchi-Takahashi type rational contraction in relational metric spaces
Surveys in Mathematics and its Applications
mt-function
binary relation
multivalued function
fixed point
rational contraction
title Multivalued Mizoguchi-Takahashi type rational contraction in relational metric spaces
title_full Multivalued Mizoguchi-Takahashi type rational contraction in relational metric spaces
title_fullStr Multivalued Mizoguchi-Takahashi type rational contraction in relational metric spaces
title_full_unstemmed Multivalued Mizoguchi-Takahashi type rational contraction in relational metric spaces
title_short Multivalued Mizoguchi-Takahashi type rational contraction in relational metric spaces
title_sort multivalued mizoguchi takahashi type rational contraction in relational metric spaces
topic mt-function
binary relation
multivalued function
fixed point
rational contraction
url https://www.utgjiu.ro/math/sma/v18/p18_05.pdf
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AT priyamchakraborty multivaluedmizoguchitakahashityperationalcontractioninrelationalmetricspaces
AT sunirmalkundu multivaluedmizoguchitakahashityperationalcontractioninrelationalmetricspaces