Akewe, H and Olaleru, J.O. (2013) On Convergence and Stability of the Generalized Noor Iterations for a General Class of Operators. British Journal of Mathematics & Computer Science, 3 (3). pp. 437-447. ISSN ISSN: 2231-0851
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Abstract
In this paper, we establish some strong convergence and stability results of multistep iterative scheme for a general class of operators introduced by Bosede and Rhoades [5] in a Banach space. As corollaries, some convergence and stability results for the Noor, Ishikawa, Mann and Picard iterative schemes are also established. Our convergence results generalize and extend the results of Berinde [3], Bosede [4], Olaleru [16], Rafiq [21, 22] among others, while our stability results are extensions and generalizations of multitude of results in the literature, including the results of Berinde [1], Bosede and Rhoades [5], Imoru and Olatinwo [9] and Osilike [18].
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Strong convergence results, Stability results, multistep, Noor, Ishikawa, Mann and Picard iterative schemes |
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Mathematics |
| Depositing User: | Mrs Patricia Nwokealisi |
| Date Deposited: | 15 Sep 2017 11:21 |
| Last Modified: | 15 Sep 2017 11:21 |
| URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/9333 |
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