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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Language: | English |
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Wiley
2014-01-01
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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. |
format | Article |
id | doaj-art-c94db50e650c445fa06871fc24b7bcd7 |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
series | Abstract and Applied Analysis |
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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