On the Existence of Coincidence and Common Fixed Point of Two Rational Type Contractions and an Application in Dynamical Programming
We establish some coincidence point results for self-mappings satisfying rational type contractions in a generalized metric space. Presented coincidence point theorems weaken and extend numerous existing theorems in the literature besides furnishing some illustrative examples for our results. Finall...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/3690421 |
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| _version_ | 1849411839087083520 |
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| author | Ahmed H. Soliman Tamer Nabil |
| author_facet | Ahmed H. Soliman Tamer Nabil |
| author_sort | Ahmed H. Soliman |
| collection | DOAJ |
| description | We establish some coincidence point results for self-mappings satisfying rational type contractions in a generalized metric space. Presented coincidence point theorems weaken and extend numerous existing theorems in the literature besides furnishing some illustrative examples for our results. Finally, our results apply, in particular, to the study of solvability of functional equations arising in dynamic programming. |
| format | Article |
| id | doaj-art-5902fa62096a4754891bd4ca2b2d5f2e |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-5902fa62096a4754891bd4ca2b2d5f2e2025-08-20T03:34:40ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/36904213690421On the Existence of Coincidence and Common Fixed Point of Two Rational Type Contractions and an Application in Dynamical ProgrammingAhmed H. Soliman0Tamer Nabil1Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, EgyptDepartment of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Ismailia, EgyptWe establish some coincidence point results for self-mappings satisfying rational type contractions in a generalized metric space. Presented coincidence point theorems weaken and extend numerous existing theorems in the literature besides furnishing some illustrative examples for our results. Finally, our results apply, in particular, to the study of solvability of functional equations arising in dynamic programming.http://dx.doi.org/10.1155/2016/3690421 |
| spellingShingle | Ahmed H. Soliman Tamer Nabil On the Existence of Coincidence and Common Fixed Point of Two Rational Type Contractions and an Application in Dynamical Programming Journal of Function Spaces |
| title | On the Existence of Coincidence and Common Fixed Point of Two Rational Type Contractions and an Application in Dynamical Programming |
| title_full | On the Existence of Coincidence and Common Fixed Point of Two Rational Type Contractions and an Application in Dynamical Programming |
| title_fullStr | On the Existence of Coincidence and Common Fixed Point of Two Rational Type Contractions and an Application in Dynamical Programming |
| title_full_unstemmed | On the Existence of Coincidence and Common Fixed Point of Two Rational Type Contractions and an Application in Dynamical Programming |
| title_short | On the Existence of Coincidence and Common Fixed Point of Two Rational Type Contractions and an Application in Dynamical Programming |
| title_sort | on the existence of coincidence and common fixed point of two rational type contractions and an application in dynamical programming |
| url | http://dx.doi.org/10.1155/2016/3690421 |
| work_keys_str_mv | AT ahmedhsoliman ontheexistenceofcoincidenceandcommonfixedpointoftworationaltypecontractionsandanapplicationindynamicalprogramming AT tamernabil ontheexistenceofcoincidenceandcommonfixedpointoftworationaltypecontractionsandanapplicationindynamicalprogramming |