Tripled Coincidence and Common Fixed Point Results for Two Pairs of Hybrid Mappings

The tripled fixed point is a generalization of the well-known concept of “coupled fixed point.” In this paper, tripled coincidence and common fixed point results for two hybrid pairs consisting of multivalued and single valued mappings on a metric space are proved. We give examples to illustrate o...

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Main Authors: Marwan Amin Kutbi, Jamshaid Ahmad, Mujahid Abbas, Muhammad Arshad
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/803729
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author Marwan Amin Kutbi
Jamshaid Ahmad
Mujahid Abbas
Muhammad Arshad
author_facet Marwan Amin Kutbi
Jamshaid Ahmad
Mujahid Abbas
Muhammad Arshad
author_sort Marwan Amin Kutbi
collection DOAJ
description The tripled fixed point is a generalization of the well-known concept of “coupled fixed point.” In this paper, tripled coincidence and common fixed point results for two hybrid pairs consisting of multivalued and single valued mappings on a metric space are proved. We give examples to illustrate our results. In the process, several comparable coincidence and fixed point results in the existing literature are improved, unified, and generalized.
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spelling doaj-art-19fa5bcd2ea34ce3aa73bdb27e66bf1d2025-08-20T03:17:43ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/803729803729Tripled Coincidence and Common Fixed Point Results for Two Pairs of Hybrid MappingsMarwan Amin Kutbi0Jamshaid Ahmad1Mujahid Abbas2Muhammad Arshad3Department of Mathematics, King Abdul Aziz University, Jeddah, Saudi ArabiaDepartment of Mathematics, COMSATS Institute of Information Technology, Chack Shahzad, Islamabad 44000, PakistanDepartment of Mathematics & Applied Mathematics, University of Pretoria, Pretoria 002, South AfricaDepartment of Mathematics, International Islamic University, H-10, Islamabad 44000, PakistanThe tripled fixed point is a generalization of the well-known concept of “coupled fixed point.” In this paper, tripled coincidence and common fixed point results for two hybrid pairs consisting of multivalued and single valued mappings on a metric space are proved. We give examples to illustrate our results. In the process, several comparable coincidence and fixed point results in the existing literature are improved, unified, and generalized.http://dx.doi.org/10.1155/2014/803729
spellingShingle Marwan Amin Kutbi
Jamshaid Ahmad
Mujahid Abbas
Muhammad Arshad
Tripled Coincidence and Common Fixed Point Results for Two Pairs of Hybrid Mappings
Abstract and Applied Analysis
title Tripled Coincidence and Common Fixed Point Results for Two Pairs of Hybrid Mappings
title_full Tripled Coincidence and Common Fixed Point Results for Two Pairs of Hybrid Mappings
title_fullStr Tripled Coincidence and Common Fixed Point Results for Two Pairs of Hybrid Mappings
title_full_unstemmed Tripled Coincidence and Common Fixed Point Results for Two Pairs of Hybrid Mappings
title_short Tripled Coincidence and Common Fixed Point Results for Two Pairs of Hybrid Mappings
title_sort tripled coincidence and common fixed point results for two pairs of hybrid mappings
url http://dx.doi.org/10.1155/2014/803729
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AT mujahidabbas tripledcoincidenceandcommonfixedpointresultsfortwopairsofhybridmappings
AT muhammadarshad tripledcoincidenceandcommonfixedpointresultsfortwopairsofhybridmappings