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...

Full description

Saved in:
Bibliographic Details
Main Authors: Feng Gu, Yun Yin
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/808092
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832545460521271296
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