On Fuzzy Fixed Points for Fuzzy Maps with Generalized Weak Property

Let (X,d) be a complex valued metric space and let S,T be mappings from X to a set of all fuzzy subsets of X. We present sufficient conditions for the existence of a common α-fuzzy fixed point of S and T. Our results improve and extend certain recent results in literature. Moreover, we discuss an il...

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Main Authors: Marwan Amin Kutbi, Jamshaid Ahmad, Akbar Azam, Nawab Hussain
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/549504
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author Marwan Amin Kutbi
Jamshaid Ahmad
Akbar Azam
Nawab Hussain
author_facet Marwan Amin Kutbi
Jamshaid Ahmad
Akbar Azam
Nawab Hussain
author_sort Marwan Amin Kutbi
collection DOAJ
description Let (X,d) be a complex valued metric space and let S,T be mappings from X to a set of all fuzzy subsets of X. We present sufficient conditions for the existence of a common α-fuzzy fixed point of S and T. Our results improve and extend certain recent results in literature. Moreover, we discuss an illustrative example to highlight the realized improvements.
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institution Kabale University
issn 1110-757X
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publishDate 2014-01-01
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series Journal of Applied Mathematics
spelling doaj-art-994c9c9e3c774cb894a069811af6f0f72025-02-03T05:54:08ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/549504549504On Fuzzy Fixed Points for Fuzzy Maps with Generalized Weak PropertyMarwan Amin Kutbi0Jamshaid Ahmad1Akbar Azam2Nawab Hussain3Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, COMSATS Institute of Information Technology, Chak Shahzad, Islamabad 44000, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Chak Shahzad, Islamabad 44000, PakistanDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaLet (X,d) be a complex valued metric space and let S,T be mappings from X to a set of all fuzzy subsets of X. We present sufficient conditions for the existence of a common α-fuzzy fixed point of S and T. Our results improve and extend certain recent results in literature. Moreover, we discuss an illustrative example to highlight the realized improvements.http://dx.doi.org/10.1155/2014/549504
spellingShingle Marwan Amin Kutbi
Jamshaid Ahmad
Akbar Azam
Nawab Hussain
On Fuzzy Fixed Points for Fuzzy Maps with Generalized Weak Property
Journal of Applied Mathematics
title On Fuzzy Fixed Points for Fuzzy Maps with Generalized Weak Property
title_full On Fuzzy Fixed Points for Fuzzy Maps with Generalized Weak Property
title_fullStr On Fuzzy Fixed Points for Fuzzy Maps with Generalized Weak Property
title_full_unstemmed On Fuzzy Fixed Points for Fuzzy Maps with Generalized Weak Property
title_short On Fuzzy Fixed Points for Fuzzy Maps with Generalized Weak Property
title_sort on fuzzy fixed points for fuzzy maps with generalized weak property
url http://dx.doi.org/10.1155/2014/549504
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AT nawabhussain onfuzzyfixedpointsforfuzzymapswithgeneralizedweakproperty