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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2008-09-01
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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). |
first_indexed | 2024-12-19T03:45:04Z |
format | Article |
id | doaj.art-67bfd7992a6345c596f04f4baf30c6c4 |
institution | Directory Open Access Journal |
issn | 1687-1820 1687-1812 |
language | English |
last_indexed | 2024-12-19T03:45:04Z |
publishDate | 2008-09-01 |
publisher | SpringerOpen |
record_format | Article |
series | Fixed Point Theory and Applications |
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 |
work_keys_str_mv | AT fadiawawdeh somefixedpointtheoremformappingoncompletegmetricspaces AT hamedobiedat somefixedpointtheoremformappingoncompletegmetricspaces AT zeadmustafa somefixedpointtheoremformappingoncompletegmetricspaces |