A Unique Coupled Common Fixed Point Theorem for Symmetric (φ,ψ)-Contractive Mappings in Ordered G-Metric Spaces with Applications
We establish the existence and uniqueness of coupled common fixed point for symmetric (φ,ψ)-contractive mappings in the framework of ordered G-metric spaces. Present work extends, generalize, and enrich the recent results of Choudhury and Maity (2011), Nashine (2012), and Mohiuddine and Alotaibi (2...
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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/10.1155/2013/134712 |
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| author | Manish Jain Kenan Taş |
| author_facet | Manish Jain Kenan Taş |
| author_sort | Manish Jain |
| collection | DOAJ |
| description | We establish the existence and uniqueness of coupled common fixed point for symmetric (φ,ψ)-contractive mappings in the framework of ordered G-metric spaces. Present work extends, generalize, and enrich the recent results of Choudhury and Maity (2011), Nashine (2012), and Mohiuddine and Alotaibi (2012), thereby, weakening the involved contractive conditions. Our theoretical results are accompanied by suitable examples and an application to integral equations. |
| format | Article |
| id | doaj-art-0423bd162a404dbd97a2ae0ac3d7d52a |
| 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-0423bd162a404dbd97a2ae0ac3d7d52a2025-02-03T05:45:06ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/134712134712A Unique Coupled Common Fixed Point Theorem for Symmetric (φ,ψ)-Contractive Mappings in Ordered G-Metric Spaces with ApplicationsManish Jain0Kenan Taş1Department of Mathematics, Ahir College, Rewari 123401, IndiaDepartment of Mathematics and Computer Science, Cankaya University, Ankara, TurkeyWe establish the existence and uniqueness of coupled common fixed point for symmetric (φ,ψ)-contractive mappings in the framework of ordered G-metric spaces. Present work extends, generalize, and enrich the recent results of Choudhury and Maity (2011), Nashine (2012), and Mohiuddine and Alotaibi (2012), thereby, weakening the involved contractive conditions. Our theoretical results are accompanied by suitable examples and an application to integral equations.http://dx.doi.org/10.1155/2013/134712 |
| spellingShingle | Manish Jain Kenan Taş A Unique Coupled Common Fixed Point Theorem for Symmetric (φ,ψ)-Contractive Mappings in Ordered G-Metric Spaces with Applications Journal of Applied Mathematics |
| title | A Unique Coupled Common Fixed Point Theorem for Symmetric (φ,ψ)-Contractive Mappings in Ordered G-Metric Spaces with Applications |
| title_full | A Unique Coupled Common Fixed Point Theorem for Symmetric (φ,ψ)-Contractive Mappings in Ordered G-Metric Spaces with Applications |
| title_fullStr | A Unique Coupled Common Fixed Point Theorem for Symmetric (φ,ψ)-Contractive Mappings in Ordered G-Metric Spaces with Applications |
| title_full_unstemmed | A Unique Coupled Common Fixed Point Theorem for Symmetric (φ,ψ)-Contractive Mappings in Ordered G-Metric Spaces with Applications |
| title_short | A Unique Coupled Common Fixed Point Theorem for Symmetric (φ,ψ)-Contractive Mappings in Ordered G-Metric Spaces with Applications |
| title_sort | unique coupled common fixed point theorem for symmetric φ ψ contractive mappings in ordered g metric spaces with applications |
| url | http://dx.doi.org/10.1155/2013/134712 |
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