Strong Convergence Theorem for Two Commutative Asymptotically Nonexpansive Mappings in Hilbert SpaceReport as inadecuate




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International Journal of Mathematics and Mathematical SciencesVolume 2008 2008, Article ID 236269, 9 pages

Research ArticleSchool of Mathematics and Statistics, Southwest University, Chongqing 400715, China

Received 20 June 2008; Accepted 8 December 2008

Academic Editor: Enrico Obrecht

Copyright © 2008 Jianjun Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

is a bounded closed convex subset of a Hilbert space , and are two asymptotically nonexpansive mappings such that . We establish a strong convergence theorem for and in Hilbert space by hybrid method. The results generalize and unify many corresponding results.





Author: Jianjun Liu, Lili He, and Lei Deng

Source: https://www.hindawi.com/



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