Fixed Point Theorems for Hybrid Rational Geraghty Contractive Mappings in Ordered b-Metric Spaces
We introduce the new notion of a hybrid rational Geraghty contractive mapping and investigate the existence of fixed point and coincidence point for such mappings in ordered b-metric spaces. We also provide an example to illustrate the results presented herein. Finally, we establish an existence the...
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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/10.1155/2014/929821 |
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| author | Farzaneh Zabihi Abdolrahman Razani |
| author_facet | Farzaneh Zabihi Abdolrahman Razani |
| author_sort | Farzaneh Zabihi |
| collection | DOAJ |
| description | We introduce the new notion of a hybrid rational Geraghty contractive mapping and investigate the existence of fixed point and coincidence point for such mappings in ordered b-metric spaces. We also provide an example to illustrate the results presented herein. Finally, we establish an existence theorem for a solution of an integral equation. |
| format | Article |
| id | doaj-art-87b3a3899e5741ee8068f7edfe58f48e |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-87b3a3899e5741ee8068f7edfe58f48e2025-08-20T02:09:01ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/929821929821Fixed Point Theorems for Hybrid Rational Geraghty Contractive Mappings in Ordered b-Metric SpacesFarzaneh Zabihi0Abdolrahman Razani1Department of Mathematics, College of Science, Islamic Azad University, Tehran Science and Research Branch, Tehran, IranDepartment of Mathematics, Faculty of Science, Imam Khomeini International University, P.O. Box 34194-16818, Qazvin, IranWe introduce the new notion of a hybrid rational Geraghty contractive mapping and investigate the existence of fixed point and coincidence point for such mappings in ordered b-metric spaces. We also provide an example to illustrate the results presented herein. Finally, we establish an existence theorem for a solution of an integral equation.http://dx.doi.org/10.1155/2014/929821 |
| spellingShingle | Farzaneh Zabihi Abdolrahman Razani Fixed Point Theorems for Hybrid Rational Geraghty Contractive Mappings in Ordered b-Metric Spaces Journal of Applied Mathematics |
| title | Fixed Point Theorems for Hybrid Rational Geraghty Contractive Mappings in Ordered b-Metric Spaces |
| title_full | Fixed Point Theorems for Hybrid Rational Geraghty Contractive Mappings in Ordered b-Metric Spaces |
| title_fullStr | Fixed Point Theorems for Hybrid Rational Geraghty Contractive Mappings in Ordered b-Metric Spaces |
| title_full_unstemmed | Fixed Point Theorems for Hybrid Rational Geraghty Contractive Mappings in Ordered b-Metric Spaces |
| title_short | Fixed Point Theorems for Hybrid Rational Geraghty Contractive Mappings in Ordered b-Metric Spaces |
| title_sort | fixed point theorems for hybrid rational geraghty contractive mappings in ordered b metric spaces |
| url | http://dx.doi.org/10.1155/2014/929821 |
| work_keys_str_mv | AT farzanehzabihi fixedpointtheoremsforhybridrationalgeraghtycontractivemappingsinorderedbmetricspaces AT abdolrahmanrazani fixedpointtheoremsforhybridrationalgeraghtycontractivemappingsinorderedbmetricspaces |