Some stability results for coupled fixed point iterative process in a complete metric space
In the paper [M. O. Olatinwo, Stability of coupled fixed point iterations and the continuous dependence of coupled fixed points, Communications on Applied Nonlinear Analysis 19 (2012), 71-83], the author has extended the notion of stability of fixed point iterative procedures contained in the paper...
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| Format: | Article |
| Language: | English |
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University Constantin Brancusi of Targu-Jiu
2019-12-01
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| Series: | Surveys in Mathematics and its Applications |
| Subjects: | |
| Online Access: | http://www.utgjiu.ro/math/sma/v14/p14_18.pdf |
| _version_ | 1818084153101385728 |
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| author | M. O. Olatinwo K. R. Tijani |
| author_facet | M. O. Olatinwo K. R. Tijani |
| author_sort | M. O. Olatinwo |
| collection | DOAJ |
| description | In the paper [M. O. Olatinwo, Stability of coupled fixed point iterations and the continuous dependence of coupled fixed points, Communications on Applied Nonlinear Analysis 19 (2012), 71-83], the author has extended the notion of stability of fixed point iterative procedures contained in the paper [A. M. Harder and T. L. Hicks, Stability results for fixed point iteration procedures, Math. Japonica 33 (1988), 693-706], as well as the continuous dependence of fixed points to the coupled fixed point settings by employing the contractive conditions and the coupled fixed point iteration in the article [F. Sabetghadam, H. P. Masiha and A. H. Sanatpour, Some coupled fixed point theorems in cone metric spaces, Fixed Point Theory and Applications, Article ID 125426 (2009)]. In the present paper, we obtain some results on stability of coupled fixed point iterative procedures by using rational type contractive conditions. |
| first_indexed | 2024-12-10T19:49:21Z |
| format | Article |
| id | doaj.art-9cf601d2152f4fceb0f31c9a15cba4d7 |
| institution | Directory Open Access Journal |
| issn | 1843-7265 1842-6298 |
| language | English |
| last_indexed | 2024-12-10T19:49:21Z |
| publishDate | 2019-12-01 |
| publisher | University Constantin Brancusi of Targu-Jiu |
| record_format | Article |
| series | Surveys in Mathematics and its Applications |
| spelling | doaj.art-9cf601d2152f4fceb0f31c9a15cba4d72022-12-22T01:35:49ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982019-12-0114 (2019)327339Some stability results for coupled fixed point iterative process in a complete metric spaceM. O. Olatinwo0K. R. Tijani1Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria.Department of Mathematics, Osun State University, Osogbo, Nigeria.In the paper [M. O. Olatinwo, Stability of coupled fixed point iterations and the continuous dependence of coupled fixed points, Communications on Applied Nonlinear Analysis 19 (2012), 71-83], the author has extended the notion of stability of fixed point iterative procedures contained in the paper [A. M. Harder and T. L. Hicks, Stability results for fixed point iteration procedures, Math. Japonica 33 (1988), 693-706], as well as the continuous dependence of fixed points to the coupled fixed point settings by employing the contractive conditions and the coupled fixed point iteration in the article [F. Sabetghadam, H. P. Masiha and A. H. Sanatpour, Some coupled fixed point theorems in cone metric spaces, Fixed Point Theory and Applications, Article ID 125426 (2009)]. In the present paper, we obtain some results on stability of coupled fixed point iterative procedures by using rational type contractive conditions.http://www.utgjiu.ro/math/sma/v14/p14_18.pdfcoupled fixed point iterationscontinuous dependence of coupled fixed pointscomplete metric spaces |
| spellingShingle | M. O. Olatinwo K. R. Tijani Some stability results for coupled fixed point iterative process in a complete metric space Surveys in Mathematics and its Applications coupled fixed point iterations continuous dependence of coupled fixed points complete metric spaces |
| title | Some stability results for coupled fixed point iterative process in a complete metric space |
| title_full | Some stability results for coupled fixed point iterative process in a complete metric space |
| title_fullStr | Some stability results for coupled fixed point iterative process in a complete metric space |
| title_full_unstemmed | Some stability results for coupled fixed point iterative process in a complete metric space |
| title_short | Some stability results for coupled fixed point iterative process in a complete metric space |
| title_sort | some stability results for coupled fixed point iterative process in a complete metric space |
| topic | coupled fixed point iterations continuous dependence of coupled fixed points complete metric spaces |
| url | http://www.utgjiu.ro/math/sma/v14/p14_18.pdf |
| work_keys_str_mv | AT moolatinwo somestabilityresultsforcoupledfixedpointiterativeprocessinacompletemetricspace AT krtijani somestabilityresultsforcoupledfixedpointiterativeprocessinacompletemetricspace |