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On modified Noor iterations for nonlinear equations in Banach spaces

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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