Extension of Kirk-Saliga Fixed Point Theorem in a Metric Space with a Reflexive Digraph
We extend the result of Kirk-Saliga and we generalize Alfuraidan and Khamsi theorem for reflexive graphs. As a consequence, we obtain the ordered version of Caristi’s fixed point theorem. Some concrete examples are given to support the obtained results.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2018/1471256 |
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| _version_ | 1832551301968297984 |
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| author | Karim Chaira Abderrahim Eladraoui Mustapha Kabil Samih Lazaiz |
| author_facet | Karim Chaira Abderrahim Eladraoui Mustapha Kabil Samih Lazaiz |
| author_sort | Karim Chaira |
| collection | DOAJ |
| description | We extend the result of Kirk-Saliga and we generalize Alfuraidan and Khamsi theorem for reflexive graphs. As a consequence, we obtain the ordered version of Caristi’s fixed point theorem. Some concrete examples are given to support the obtained results. |
| format | Article |
| id | doaj-art-0c9e3be260a2429194af1b3e07a9ba43 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0c9e3be260a2429194af1b3e07a9ba432025-02-03T06:01:48ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252018-01-01201810.1155/2018/14712561471256Extension of Kirk-Saliga Fixed Point Theorem in a Metric Space with a Reflexive DigraphKarim Chaira0Abderrahim Eladraoui1Mustapha Kabil2Samih Lazaiz3Laboratory of Algebra, Analysis and Applications, Faculty of Sciences Ben M’sik, University of Hassan II Casablanca, Casablanca, MoroccoLaboratory of Mathematics and Applications, Faculty of Sciences and Technologies, Mohammedia, University of Hassan II Casablanca, Casablanca, MoroccoLaboratory of Mathematics and Applications, Faculty of Sciences and Technologies, Mohammedia, University of Hassan II Casablanca, Casablanca, MoroccoLaboratory of Algebra, Analysis and Applications, Faculty of Sciences Ben M’sik, University of Hassan II Casablanca, Casablanca, MoroccoWe extend the result of Kirk-Saliga and we generalize Alfuraidan and Khamsi theorem for reflexive graphs. As a consequence, we obtain the ordered version of Caristi’s fixed point theorem. Some concrete examples are given to support the obtained results.http://dx.doi.org/10.1155/2018/1471256 |
| spellingShingle | Karim Chaira Abderrahim Eladraoui Mustapha Kabil Samih Lazaiz Extension of Kirk-Saliga Fixed Point Theorem in a Metric Space with a Reflexive Digraph International Journal of Mathematics and Mathematical Sciences |
| title | Extension of Kirk-Saliga Fixed Point Theorem in a Metric Space with a Reflexive Digraph |
| title_full | Extension of Kirk-Saliga Fixed Point Theorem in a Metric Space with a Reflexive Digraph |
| title_fullStr | Extension of Kirk-Saliga Fixed Point Theorem in a Metric Space with a Reflexive Digraph |
| title_full_unstemmed | Extension of Kirk-Saliga Fixed Point Theorem in a Metric Space with a Reflexive Digraph |
| title_short | Extension of Kirk-Saliga Fixed Point Theorem in a Metric Space with a Reflexive Digraph |
| title_sort | extension of kirk saliga fixed point theorem in a metric space with a reflexive digraph |
| url | http://dx.doi.org/10.1155/2018/1471256 |
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