On the Power of Simulation and Admissible Functions in Metric Fixed Point Theory
We investigate the existence and uniqueness of certain operators which form a new contractive condition via the combining of the notions of admissible function and simulation function contained in the context of complete b-metric spaces. The given results not only unify but also generalize a number...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/2068163 |
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| _version_ | 1832553351008485376 |
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| author | Areej S. S. Alharbi Hamed H. Alsulami Erdal Karapinar |
| author_facet | Areej S. S. Alharbi Hamed H. Alsulami Erdal Karapinar |
| author_sort | Areej S. S. Alharbi |
| collection | DOAJ |
| description | We investigate the existence and uniqueness of certain operators which form a new contractive condition via the combining of the notions of admissible function and simulation function contained in the context of complete b-metric spaces. The given results not only unify but also generalize a number of existing results on the topic in the corresponding literature. |
| format | Article |
| id | doaj-art-a1b3868abbe54099a2123ac0c78be159 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-a1b3868abbe54099a2123ac0c78be1592025-02-03T05:54:18ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/20681632068163On the Power of Simulation and Admissible Functions in Metric Fixed Point TheoryAreej S. S. Alharbi0Hamed H. Alsulami1Erdal Karapinar2Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, Jeddah 21491, Saudi ArabiaNonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, Jeddah 21491, Saudi ArabiaDepartment of Mathematics, Atilim University, Incek, 06836 Ankara, TurkeyWe investigate the existence and uniqueness of certain operators which form a new contractive condition via the combining of the notions of admissible function and simulation function contained in the context of complete b-metric spaces. The given results not only unify but also generalize a number of existing results on the topic in the corresponding literature.http://dx.doi.org/10.1155/2017/2068163 |
| spellingShingle | Areej S. S. Alharbi Hamed H. Alsulami Erdal Karapinar On the Power of Simulation and Admissible Functions in Metric Fixed Point Theory Journal of Function Spaces |
| title | On the Power of Simulation and Admissible Functions in Metric Fixed Point Theory |
| title_full | On the Power of Simulation and Admissible Functions in Metric Fixed Point Theory |
| title_fullStr | On the Power of Simulation and Admissible Functions in Metric Fixed Point Theory |
| title_full_unstemmed | On the Power of Simulation and Admissible Functions in Metric Fixed Point Theory |
| title_short | On the Power of Simulation and Admissible Functions in Metric Fixed Point Theory |
| title_sort | on the power of simulation and admissible functions in metric fixed point theory |
| url | http://dx.doi.org/10.1155/2017/2068163 |
| work_keys_str_mv | AT areejssalharbi onthepowerofsimulationandadmissiblefunctionsinmetricfixedpointtheory AT hamedhalsulami onthepowerofsimulationandadmissiblefunctionsinmetricfixedpointtheory AT erdalkarapinar onthepowerofsimulationandadmissiblefunctionsinmetricfixedpointtheory |