Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces

We prove some fixed point results for mapping satisfying sufficient conditions on complete G-metric space, also we showed that if the G-metric space (X,G) is symmetric, then the existence and uniqueness of these fixed point results follow from well-known theorems in usual metric space (X,dG), wher...

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Main Authors: Fadi Awawdeh, Hamed Obiedat, Zead Mustafa
Format: Article
Language:English
Published: SpringerOpen 2008-09-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2008/189870
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author Fadi Awawdeh
Hamed Obiedat
Zead Mustafa
author_facet Fadi Awawdeh
Hamed Obiedat
Zead Mustafa
author_sort Fadi Awawdeh
collection DOAJ
description We prove some fixed point results for mapping satisfying sufficient conditions on complete G-metric space, also we showed that if the G-metric space (X,G) is symmetric, then the existence and uniqueness of these fixed point results follow from well-known theorems in usual metric space (X,dG), where (X,dG) is the usual metric space which defined from the G-metric space (X,G).
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spelling doaj.art-67bfd7992a6345c596f04f4baf30c6c42022-12-21T20:37:08ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122008-09-01200810.1155/2008/189870Some Fixed Point Theorem for Mapping on Complete G-Metric SpacesFadi AwawdehHamed ObiedatZead MustafaWe prove some fixed point results for mapping satisfying sufficient conditions on complete G-metric space, also we showed that if the G-metric space (X,G) is symmetric, then the existence and uniqueness of these fixed point results follow from well-known theorems in usual metric space (X,dG), where (X,dG) is the usual metric space which defined from the G-metric space (X,G).http://dx.doi.org/10.1155/2008/189870
spellingShingle Fadi Awawdeh
Hamed Obiedat
Zead Mustafa
Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces
Fixed Point Theory and Applications
title Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces
title_full Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces
title_fullStr Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces
title_full_unstemmed Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces
title_short Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces
title_sort some fixed point theorem for mapping on complete g metric spaces
url http://dx.doi.org/10.1155/2008/189870
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