A Generalization of a Greguš Fixed Point Theorem in Metric Spaces
We first introduce a new class of contractive mappings in the setting of metric spaces and then we present certain Greguš type fixed point theorems for such mappings. As an application, we derive certain Greguš type common fixed theorems. Our results extend Greguš fixed point theorem in metric space...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/580297 |
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| author | Marwan A. Kutbi A. Amini-Harandi N. Hussain |
| author_facet | Marwan A. Kutbi A. Amini-Harandi N. Hussain |
| author_sort | Marwan A. Kutbi |
| collection | DOAJ |
| description | We first introduce a new class of contractive mappings in the setting of metric spaces and then we present certain Greguš type fixed point theorems for such mappings. As an application, we derive certain Greguš type common fixed theorems. Our results extend Greguš fixed point theorem in metric spaces and generalize and unify some related results in the literature. An example is also given to support our main result. |
| format | Article |
| id | doaj-art-a9189775f3aa433bb08aac7aad5f46fb |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a9189775f3aa433bb08aac7aad5f46fb2025-02-03T06:08:00ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/580297580297A Generalization of a Greguš Fixed Point Theorem in Metric SpacesMarwan A. Kutbi0A. Amini-Harandi1N. Hussain2Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Pure Mathematics, University of Shahrekord, Shahrekord 88186-34141, IranDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe first introduce a new class of contractive mappings in the setting of metric spaces and then we present certain Greguš type fixed point theorems for such mappings. As an application, we derive certain Greguš type common fixed theorems. Our results extend Greguš fixed point theorem in metric spaces and generalize and unify some related results in the literature. An example is also given to support our main result.http://dx.doi.org/10.1155/2014/580297 |
| spellingShingle | Marwan A. Kutbi A. Amini-Harandi N. Hussain A Generalization of a Greguš Fixed Point Theorem in Metric Spaces Journal of Applied Mathematics |
| title | A Generalization of a Greguš Fixed Point Theorem in Metric Spaces |
| title_full | A Generalization of a Greguš Fixed Point Theorem in Metric Spaces |
| title_fullStr | A Generalization of a Greguš Fixed Point Theorem in Metric Spaces |
| title_full_unstemmed | A Generalization of a Greguš Fixed Point Theorem in Metric Spaces |
| title_short | A Generalization of a Greguš Fixed Point Theorem in Metric Spaces |
| title_sort | generalization of a gregus fixed point theorem in metric spaces |
| url | http://dx.doi.org/10.1155/2014/580297 |
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