Some Convergence and Stability Results for the Kirk Multistep and Kirk-SP Fixed Point Iterative Algorithms
The purpose of this paper is to introduce a new Kirk type iterative algorithm called Kirk multistep iteration and to study its convergence. We also prove some theorems related to the stability results for the Kirk multistep and Kirk-SP iterative processes by employing certain contractive-like operat...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/806537 |
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| author | Faik Gürsoy Vatan Karakaya B. E. Rhoades |
| author_facet | Faik Gürsoy Vatan Karakaya B. E. Rhoades |
| author_sort | Faik Gürsoy |
| collection | DOAJ |
| description | The purpose of this paper is to introduce a new Kirk type iterative algorithm called Kirk multistep iteration and to study its convergence. We also prove some theorems related to the stability results for the Kirk multistep and Kirk-SP iterative processes by employing certain contractive-like operators. Our results generalize and unify some other results in the literature. |
| format | Article |
| id | doaj-art-8e19931140484dcc9daa30fab372f7c4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8e19931140484dcc9daa30fab372f7c42025-02-03T07:25:50ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/806537806537Some Convergence and Stability Results for the Kirk Multistep and Kirk-SP Fixed Point Iterative AlgorithmsFaik Gürsoy0Vatan Karakaya1B. E. Rhoades2Department of Mathematics, Yildiz Technical University, Davutpasa Campus, Esenler, 34220 Istanbul, TurkeyDepartment of Mathematical Engineering, Yildiz Technical University, Davutpasa Campus, Esenler, 34210 Istanbul, TurkeyDepartment of Mathematics, Indiana University, Bloomington, IN 47405-7106, USAThe purpose of this paper is to introduce a new Kirk type iterative algorithm called Kirk multistep iteration and to study its convergence. We also prove some theorems related to the stability results for the Kirk multistep and Kirk-SP iterative processes by employing certain contractive-like operators. Our results generalize and unify some other results in the literature.http://dx.doi.org/10.1155/2014/806537 |
| spellingShingle | Faik Gürsoy Vatan Karakaya B. E. Rhoades Some Convergence and Stability Results for the Kirk Multistep and Kirk-SP Fixed Point Iterative Algorithms Abstract and Applied Analysis |
| title | Some Convergence and Stability Results for the Kirk Multistep and Kirk-SP Fixed Point Iterative Algorithms |
| title_full | Some Convergence and Stability Results for the Kirk Multistep and Kirk-SP Fixed Point Iterative Algorithms |
| title_fullStr | Some Convergence and Stability Results for the Kirk Multistep and Kirk-SP Fixed Point Iterative Algorithms |
| title_full_unstemmed | Some Convergence and Stability Results for the Kirk Multistep and Kirk-SP Fixed Point Iterative Algorithms |
| title_short | Some Convergence and Stability Results for the Kirk Multistep and Kirk-SP Fixed Point Iterative Algorithms |
| title_sort | some convergence and stability results for the kirk multistep and kirk sp fixed point iterative algorithms |
| url | http://dx.doi.org/10.1155/2014/806537 |
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