A New Approach to the Study of Fixed Point Theorems with w-Distances via R-Functions
We introduce some new generalization of fixed point theorems in complete metric spaces endowed with w-distances via R-functions. Our results extend many of known fixed point theorems such as Reich type contraction, Geraghty contraction, Meir-Keeler contraction, and Z-contraction. In addition, the re...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/6978439 |
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| _version_ | 1849692138667769856 |
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| author | Farzad Zarinfar Farshid Khojasteh Seyyed Mansour Vaezpour |
| author_facet | Farzad Zarinfar Farshid Khojasteh Seyyed Mansour Vaezpour |
| author_sort | Farzad Zarinfar |
| collection | DOAJ |
| description | We introduce some new generalization of fixed point theorems in complete metric spaces endowed with w-distances via R-functions. Our results extend many of known fixed point theorems such as Reich type contraction, Geraghty contraction, Meir-Keeler contraction, and Z-contraction. In addition, the result and corollaries show that our approach has a constructive attitude and many known and unknown results can be constructed in such way. |
| format | Article |
| id | doaj-art-b0caa7e312824d01b7d3ac4e6aabdcfe |
| institution | DOAJ |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-b0caa7e312824d01b7d3ac4e6aabdcfe2025-08-20T03:20:48ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/69784396978439A New Approach to the Study of Fixed Point Theorems with w-Distances via R-FunctionsFarzad Zarinfar0Farshid Khojasteh1Seyyed Mansour Vaezpour2Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranYoung Researcher and Elite Club, Arak-Branch, Islamic Azad University, Arak, IranDepartment of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, IranWe introduce some new generalization of fixed point theorems in complete metric spaces endowed with w-distances via R-functions. Our results extend many of known fixed point theorems such as Reich type contraction, Geraghty contraction, Meir-Keeler contraction, and Z-contraction. In addition, the result and corollaries show that our approach has a constructive attitude and many known and unknown results can be constructed in such way.http://dx.doi.org/10.1155/2016/6978439 |
| spellingShingle | Farzad Zarinfar Farshid Khojasteh Seyyed Mansour Vaezpour A New Approach to the Study of Fixed Point Theorems with w-Distances via R-Functions Journal of Function Spaces |
| title | A New Approach to the Study of Fixed Point Theorems with w-Distances via R-Functions |
| title_full | A New Approach to the Study of Fixed Point Theorems with w-Distances via R-Functions |
| title_fullStr | A New Approach to the Study of Fixed Point Theorems with w-Distances via R-Functions |
| title_full_unstemmed | A New Approach to the Study of Fixed Point Theorems with w-Distances via R-Functions |
| title_short | A New Approach to the Study of Fixed Point Theorems with w-Distances via R-Functions |
| title_sort | new approach to the study of fixed point theorems with w distances via r functions |
| url | http://dx.doi.org/10.1155/2016/6978439 |
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