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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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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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. |
format | Article |
id | doaj-art-994c9c9e3c774cb894a069811af6f0f7 |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
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 |
work_keys_str_mv | AT marwanaminkutbi onfuzzyfixedpointsforfuzzymapswithgeneralizedweakproperty AT jamshaidahmad onfuzzyfixedpointsforfuzzymapswithgeneralizedweakproperty AT akbarazam onfuzzyfixedpointsforfuzzymapswithgeneralizedweakproperty AT nawabhussain onfuzzyfixedpointsforfuzzymapswithgeneralizedweakproperty |