A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory
We provide sufficient conditions for the existence of a unique common fixed point for a pair of mappings T,S:X→X, where X is a nonempty set endowed with a certain metric. Moreover, a numerical algorithm is presented in order to approximate such solution. Our approach is different to the usual used m...
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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/10.1155/2016/6759320 |
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| _version_ | 1832562579867697152 |
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| author | Ishak Altun Nassir Al Arifi Mohamed Jleli Aref Lashin Bessem Samet |
| author_facet | Ishak Altun Nassir Al Arifi Mohamed Jleli Aref Lashin Bessem Samet |
| author_sort | Ishak Altun |
| collection | DOAJ |
| description | We provide sufficient conditions for the existence of a unique common fixed point for a pair of mappings T,S:X→X, where X is a nonempty set endowed with a certain metric. Moreover, a numerical algorithm is presented in order to approximate such solution. Our approach is different to the usual used methods in the literature. |
| format | Article |
| id | doaj-art-04d01792b0c34d8a84fa71975a52d019 |
| 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-04d01792b0c34d8a84fa71975a52d0192025-02-03T01:22:11ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/67593206759320A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point TheoryIshak Altun0Nassir Al Arifi1Mohamed Jleli2Aref Lashin3Bessem Samet4College of Science, King Saud University, Riyadh, Saudi ArabiaCollege of Science, Geology and Geophysics Department, King Saud University, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaCollege of Engineering, Petroleum and Natural Gas Engineering Department, King Saud University, Riyadh 11421, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaWe provide sufficient conditions for the existence of a unique common fixed point for a pair of mappings T,S:X→X, where X is a nonempty set endowed with a certain metric. Moreover, a numerical algorithm is presented in order to approximate such solution. Our approach is different to the usual used methods in the literature.http://dx.doi.org/10.1155/2016/6759320 |
| spellingShingle | Ishak Altun Nassir Al Arifi Mohamed Jleli Aref Lashin Bessem Samet A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory Journal of Function Spaces |
| title | A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory |
| title_full | A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory |
| title_fullStr | A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory |
| title_full_unstemmed | A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory |
| title_short | A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory |
| title_sort | new approach for the approximations of solutions to a common fixed point problem in metric fixed point theory |
| url | http://dx.doi.org/10.1155/2016/6759320 |
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