Generalized Contractive Mappings and Weakly α-Admissible Pairs in G-Metric Spaces
The aim of this paper is to present some coincidence and common fixed point results for generalized (ψ, φ)-contractive mappings using partially weakly G-α-admissibility in the setup of G-metric space. As an application of our results, periodic points of weakly contractive mappings are obtained. We a...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/941086 |
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| author | N. Hussain V. Parvaneh S. J. Hoseini Ghoncheh |
| author_facet | N. Hussain V. Parvaneh S. J. Hoseini Ghoncheh |
| author_sort | N. Hussain |
| collection | DOAJ |
| description | The aim of this paper is to present some coincidence and common fixed point results for generalized (ψ, φ)-contractive mappings using partially weakly G-α-admissibility in the setup of G-metric space. As an application of our results, periodic points of weakly contractive mappings are obtained. We also derive certain new coincidence point and common fixed point theorems in partially ordered G-metric spaces. Moreover, some examples are provided here to illustrate the usability of the obtained results. |
| format | Article |
| id | doaj-art-ba2d1e95d6c643dfa63b6203eec3462a |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-ba2d1e95d6c643dfa63b6203eec3462a2025-02-03T01:09:58ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/941086941086Generalized Contractive Mappings and Weakly α-Admissible Pairs in G-Metric SpacesN. Hussain0V. Parvaneh1S. J. Hoseini Ghoncheh2Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, IranDepartment of Mathematics, College of Science, Takestan Branch, Islamic Azad University, Takestan, IranThe aim of this paper is to present some coincidence and common fixed point results for generalized (ψ, φ)-contractive mappings using partially weakly G-α-admissibility in the setup of G-metric space. As an application of our results, periodic points of weakly contractive mappings are obtained. We also derive certain new coincidence point and common fixed point theorems in partially ordered G-metric spaces. Moreover, some examples are provided here to illustrate the usability of the obtained results.http://dx.doi.org/10.1155/2014/941086 |
| spellingShingle | N. Hussain V. Parvaneh S. J. Hoseini Ghoncheh Generalized Contractive Mappings and Weakly α-Admissible Pairs in G-Metric Spaces The Scientific World Journal |
| title | Generalized Contractive Mappings and Weakly α-Admissible Pairs in G-Metric Spaces |
| title_full | Generalized Contractive Mappings and Weakly α-Admissible Pairs in G-Metric Spaces |
| title_fullStr | Generalized Contractive Mappings and Weakly α-Admissible Pairs in G-Metric Spaces |
| title_full_unstemmed | Generalized Contractive Mappings and Weakly α-Admissible Pairs in G-Metric Spaces |
| title_short | Generalized Contractive Mappings and Weakly α-Admissible Pairs in G-Metric Spaces |
| title_sort | generalized contractive mappings and weakly α admissible pairs in g metric spaces |
| url | http://dx.doi.org/10.1155/2014/941086 |
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