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Modified Noor iterations with errors for nonlinear equations in Banach spaces

Okeke, G.A. and Olaleru, J.O. (2014) Modified Noor iterations with errors for nonlinear equations in Banach spaces. Journal of Nonlinear Science and Applications, 7 (3). pp. 180-187.

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Abstract

We introduce a new three step iterative scheme with errors to approximate the unique common fixed point of a family of three strongly pseudocontractive (accretive) mappings on Banach spaces. Our results are generalizations and improvements of results obtained by several authors in literature. In particular, they generalize and improve the results of Mogbademu and Olaleru [A. A. Mogbademu and J. O. Olaleru, Bull. Math. Anal. Appl., 3 (2011), 132-139], Xue and Fan [Z. Xue and R. Fan, Appl. Math. Comput., 206(2008), 12-15] which is in turn a correction of Rafiq [A. Rafiq, Appl. Math. Comput., 182 (2006), 589-595].

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Electronics and Computer Science
Depositing User: Dr. G.A. Okeke
Date Deposited: 18 May 2015 13:55
Last Modified: 18 May 2015 13:55
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/5205

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