A Suzuki Type Coupled Fixed Point Theorem for Generalized Multivalued Mapping

We obtain a new Suzuki type coupled fixed point theorem for a multivalued mapping T from X×X into CB(X), satisfying a generalized contraction condition in a complete metric space. Our result unifies and generalizes various known comparable results in the literature. We also give an application to ce...

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Main Authors: Pushpendra Semwal, Ramesh Chandra Dimri
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/820482
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author Pushpendra Semwal
Ramesh Chandra Dimri
author_facet Pushpendra Semwal
Ramesh Chandra Dimri
author_sort Pushpendra Semwal
collection DOAJ
description We obtain a new Suzuki type coupled fixed point theorem for a multivalued mapping T from X×X into CB(X), satisfying a generalized contraction condition in a complete metric space. Our result unifies and generalizes various known comparable results in the literature. We also give an application to certain functional equations arising in dynamic programming.
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publishDate 2014-01-01
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spelling doaj-art-c94db50e650c445fa06871fc24b7bcd72025-02-03T06:14:16ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/820482820482A Suzuki Type Coupled Fixed Point Theorem for Generalized Multivalued MappingPushpendra Semwal0Ramesh Chandra Dimri1Department of Mathematics, HNB Garhwal University, Srinagar Garhwal, Pauri Garhwal, Uttarakhand 246174, IndiaDepartment of Mathematics, HNB Garhwal University, Srinagar Garhwal, Pauri Garhwal, Uttarakhand 246174, IndiaWe obtain a new Suzuki type coupled fixed point theorem for a multivalued mapping T from X×X into CB(X), satisfying a generalized contraction condition in a complete metric space. Our result unifies and generalizes various known comparable results in the literature. We also give an application to certain functional equations arising in dynamic programming.http://dx.doi.org/10.1155/2014/820482
spellingShingle Pushpendra Semwal
Ramesh Chandra Dimri
A Suzuki Type Coupled Fixed Point Theorem for Generalized Multivalued Mapping
Abstract and Applied Analysis
title A Suzuki Type Coupled Fixed Point Theorem for Generalized Multivalued Mapping
title_full A Suzuki Type Coupled Fixed Point Theorem for Generalized Multivalued Mapping
title_fullStr A Suzuki Type Coupled Fixed Point Theorem for Generalized Multivalued Mapping
title_full_unstemmed A Suzuki Type Coupled Fixed Point Theorem for Generalized Multivalued Mapping
title_short A Suzuki Type Coupled Fixed Point Theorem for Generalized Multivalued Mapping
title_sort suzuki type coupled fixed point theorem for generalized multivalued mapping
url http://dx.doi.org/10.1155/2014/820482
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