Common Fixed Point for Three Pairs of Self-Maps Satisfying Common (E.A) Property in Generalized Metric Spaces
Using the concept of common (E.A) property, we prove a common fixed point theorem for three pairs of weakly compatible self-maps satisfying a new contractive condition in the framework of a generalized metric space. Our results do not rely on any commuting or continuity condition of mappings. An exa...
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Format: | Article |
Language: | English |
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Wiley
2013-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2013/808092 |
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author | Feng Gu Yun Yin |
author_facet | Feng Gu Yun Yin |
author_sort | Feng Gu |
collection | DOAJ |
description | Using the concept of common (E.A) property, we prove a common fixed point theorem for three pairs of weakly compatible self-maps satisfying a new contractive condition in the framework of a generalized metric space. Our results do not rely on any commuting or continuity condition of mappings. An example is provided to support our result. The results obtained in this paper differ from the recent relative results in the literature. |
format | Article |
id | doaj-art-ad1f35ab39fc4d23b076485acf4ef9c5 |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
series | Abstract and Applied Analysis |
spelling | doaj-art-ad1f35ab39fc4d23b076485acf4ef9c52025-02-03T07:25:45ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/808092808092Common Fixed Point for Three Pairs of Self-Maps Satisfying Common (E.A) Property in Generalized Metric SpacesFeng Gu0Yun Yin1Institute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, ChinaInstitute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, ChinaUsing the concept of common (E.A) property, we prove a common fixed point theorem for three pairs of weakly compatible self-maps satisfying a new contractive condition in the framework of a generalized metric space. Our results do not rely on any commuting or continuity condition of mappings. An example is provided to support our result. The results obtained in this paper differ from the recent relative results in the literature.http://dx.doi.org/10.1155/2013/808092 |
spellingShingle | Feng Gu Yun Yin Common Fixed Point for Three Pairs of Self-Maps Satisfying Common (E.A) Property in Generalized Metric Spaces Abstract and Applied Analysis |
title | Common Fixed Point for Three Pairs of Self-Maps Satisfying Common (E.A) Property in Generalized Metric Spaces |
title_full | Common Fixed Point for Three Pairs of Self-Maps Satisfying Common (E.A) Property in Generalized Metric Spaces |
title_fullStr | Common Fixed Point for Three Pairs of Self-Maps Satisfying Common (E.A) Property in Generalized Metric Spaces |
title_full_unstemmed | Common Fixed Point for Three Pairs of Self-Maps Satisfying Common (E.A) Property in Generalized Metric Spaces |
title_short | Common Fixed Point for Three Pairs of Self-Maps Satisfying Common (E.A) Property in Generalized Metric Spaces |
title_sort | common fixed point for three pairs of self maps satisfying common e a property in generalized metric spaces |
url | http://dx.doi.org/10.1155/2013/808092 |
work_keys_str_mv | AT fenggu commonfixedpointforthreepairsofselfmapssatisfyingcommoneapropertyingeneralizedmetricspaces AT yunyin commonfixedpointforthreepairsofselfmapssatisfyingcommoneapropertyingeneralizedmetricspaces |