Common Fixed Point Theorems of New Contractive Conditions in Fuzzy Metric Spaces
Some new limit contractive conditions in fuzzy metric spaces are introduced, by using property (E.A), some common fixed point theorems for four maps are proved in GV-fuzzy metric spaces. As an application of our results, some new contractive conditions are presented, and some common fixed point the...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/145190 |
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| _version_ | 1832545701219794944 |
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| author | Jiang Zhu Yuan Wang Shin Min Kang |
| author_facet | Jiang Zhu Yuan Wang Shin Min Kang |
| author_sort | Jiang Zhu |
| collection | DOAJ |
| description | Some new limit contractive conditions in fuzzy metric spaces are introduced, by using property (E.A), some common fixed point theorems for four maps are proved in GV-fuzzy metric spaces. As an application of our results, some new contractive conditions are presented, and some common fixed point theorems are proved under these contractive conditions. The contractive conditions presented in this paper contain or generalize many contractive conditions that appeared in the literatures. Some examples are given to illustrate that our results are real generalizations for the results in the references and to show that our limit contractive conditions are important for the existence of fixed point. |
| format | Article |
| id | doaj-art-278956cd425e4cf2a49d2fcb6b494dd3 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-278956cd425e4cf2a49d2fcb6b494dd32025-02-03T07:24:50ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/145190145190Common Fixed Point Theorems of New Contractive Conditions in Fuzzy Metric SpacesJiang Zhu0Yuan Wang1Shin Min Kang2School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, ChinaSchool of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, ChinaDepartment of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of KoreaSome new limit contractive conditions in fuzzy metric spaces are introduced, by using property (E.A), some common fixed point theorems for four maps are proved in GV-fuzzy metric spaces. As an application of our results, some new contractive conditions are presented, and some common fixed point theorems are proved under these contractive conditions. The contractive conditions presented in this paper contain or generalize many contractive conditions that appeared in the literatures. Some examples are given to illustrate that our results are real generalizations for the results in the references and to show that our limit contractive conditions are important for the existence of fixed point.http://dx.doi.org/10.1155/2013/145190 |
| spellingShingle | Jiang Zhu Yuan Wang Shin Min Kang Common Fixed Point Theorems of New Contractive Conditions in Fuzzy Metric Spaces Journal of Applied Mathematics |
| title | Common Fixed Point Theorems of New Contractive Conditions in Fuzzy Metric Spaces |
| title_full | Common Fixed Point Theorems of New Contractive Conditions in Fuzzy Metric Spaces |
| title_fullStr | Common Fixed Point Theorems of New Contractive Conditions in Fuzzy Metric Spaces |
| title_full_unstemmed | Common Fixed Point Theorems of New Contractive Conditions in Fuzzy Metric Spaces |
| title_short | Common Fixed Point Theorems of New Contractive Conditions in Fuzzy Metric Spaces |
| title_sort | common fixed point theorems of new contractive conditions in fuzzy metric spaces |
| url | http://dx.doi.org/10.1155/2013/145190 |
| work_keys_str_mv | AT jiangzhu commonfixedpointtheoremsofnewcontractiveconditionsinfuzzymetricspaces AT yuanwang commonfixedpointtheoremsofnewcontractiveconditionsinfuzzymetricspaces AT shinminkang commonfixedpointtheoremsofnewcontractiveconditionsinfuzzymetricspaces |