Okeke, G. A. (2015) Convergence and stability theorems for the Picard-Mann hybrid iterative scheme for a general class of contractive-like operators. Fixed Point Theory and Applications, 2015 (66). pp. 1-8.
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Abstract
In this paper we use the general class of contractive-like operators introduced by Bosede and Rhoades (J. Adv. Math. Stud. 3(2):1-3, 2010) to prove strong convergence and stability results for Picard-Mann hybrid iterative schemes considered in a real normed linear space. We establish the strong convergence and stability of the Picard iterative scheme as a corollary. Our results generalize and improve a multitude of results in the literature, including the recent results of Chidume (Fixed Point Theory Appl. 2014:233, 2014).
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | UNSPECIFIED |
| Depositing User: | Dr. G.A. Okeke |
| Date Deposited: | 15 May 2015 09:16 |
| Last Modified: | 15 May 2015 09:16 |
| URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/5195 |
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