Okeke, G.A. and Eke, Kanayo Stella (2016) On modified Noor iterations for nonlinear equations in Banach spaces. International Journal of Pure and Applied Mathematical. (Submitted)
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Abstract
We introduce a new class of nonlinear mappings, the class of asymp- totically �-hemicontractive mappings in the intermediate sense and approximate the unique common �xed point of a family of three of these mappings in Banach spaces. Our results improve and generalize the results of Xue and Fan [Zhiqun Xue, Ruiqin Fan, Some comments on Noor's iterations in Banach spaces, Applied Mathematics and Computation 206 (2008) 12-15] which in turn is a correction of the results of Ra�q [Arif Ra�q, Modified Noor iterations for nonlinear equations in Banach spaces, Applied Mathematics and Computation 182 (2006) 589-595
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Noor iterative scheme with errors, Banach spaces, asymptotically �-hemicontractive mappings in the intermediate sense, common fixed point, �- strongly quasi-accretive in the intermediate sense. |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Mathematics |
| Depositing User: | Mrs Patricia Nwokealisi |
| Date Deposited: | 16 Jun 2017 15:05 |
| Last Modified: | 16 Jun 2017 15:05 |
| URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/8301 |
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