Common Fixed Point Theorems of Altman Integral Type Mappings in G-Metric Spaces

Common Fixed Point Theorems of Altman Integral Type Mappings in G-Metric Spaces

We introduce the concept of φ-weakly commuting self-mapping pairs in G-metric space. Using this concept, we establish a new common fixed point theorem of Altman integral type for six self-mappings in the framework of complete G-metric space. An example is provided to support our result. The results...

Full description

Bibliographic Details
Main Authors: Feng Gu, Hongqing Ye
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/630457
id doaj-e0a01f78b6a848198fd7afeed1830a02
record_format Article
spelling doaj-e0a01f78b6a848198fd7afeed1830a022020-11-24T21:02:08ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/630457630457Common Fixed Point Theorems of Altman Integral Type Mappings in G-Metric SpacesFeng Gu0Hongqing Ye1Institute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Zhejiang, Hangzhou 310036, ChinaInstitute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Zhejiang, Hangzhou 310036, ChinaWe introduce the concept of φ-weakly commuting self-mapping pairs in G-metric space. Using this concept, we establish a new common fixed point theorem of Altman integral type for six self-mappings in the framework of complete G-metric space. 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/10.1155/2012/630457
collection DOAJ
language English
format Article
sources DOAJ
author Feng Gu
Hongqing Ye
spellingShingle Feng Gu
Hongqing Ye
Common Fixed Point Theorems of Altman Integral Type Mappings in G-Metric Spaces
Abstract and Applied Analysis
author_facet Feng Gu
Hongqing Ye
author_sort Feng Gu
title Common Fixed Point Theorems of Altman Integral Type Mappings in G-Metric Spaces
title_short Common Fixed Point Theorems of Altman Integral Type Mappings in G-Metric Spaces
title_full Common Fixed Point Theorems of Altman Integral Type Mappings in G-Metric Spaces
title_fullStr Common Fixed Point Theorems of Altman Integral Type Mappings in G-Metric Spaces
title_full_unstemmed Common Fixed Point Theorems of Altman Integral Type Mappings in G-Metric Spaces
title_sort common fixed point theorems of altman integral type mappings in g-metric spaces
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description We introduce the concept of φ-weakly commuting self-mapping pairs in G-metric space. Using this concept, we establish a new common fixed point theorem of Altman integral type for six self-mappings in the framework of complete G-metric space. An example is provided to support our result. The results obtained in this paper differ from the recent relative results in the literature.
url http://dx.doi.org/10.1155/2012/630457
work_keys_str_mv AT fenggu commonfixedpointtheoremsofaltmanintegraltypemappingsingmetricspaces
AT hongqingye commonfixedpointtheoremsofaltmanintegraltypemappingsingmetricspaces
_version_ 1716776425670836224

Similar Items