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2014 A New Iterative Scheme of Modified Mann Iteration in Banach Space
Jinzuo Chen, Dingping Wu, Caifen Zhang
Abstr. Appl. Anal. 2014: 1-9 (2014). DOI: 10.1155/2014/264909

Abstract

We introduce the modified iterations of Mann's type for nonexpansive mappings and asymptotically nonexpansive mappings to have the strong convergence in a uniformly convex Banach space. We study approximation of common fixed point of asymptotically nonexpansive mappings in Banach space by using a new iterative scheme. Applications to the accretive operators are also included.

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Jinzuo Chen. Dingping Wu. Caifen Zhang. "A New Iterative Scheme of Modified Mann Iteration in Banach Space." Abstr. Appl. Anal. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/264909

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022047
MathSciNet: MR3170395
Digital Object Identifier: 10.1155/2014/264909

Rights: Copyright © 2014 Hindawi

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