Abstract and Applied Analysis
Volume 2013, Article ID 174302, 7 pages
http://dx.doi.org/10.1155/2013/174302
Research Article
Strong Convergence for a Strongly Quasi-Nonexpansive Sequence in Hilbert Spaces
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Received 7 May 2013; Accepted 6 November 2013
Academic Editor: Simeon Reich
Copyright © 2013 Satit Saejung and Kanokwan Wongchan. 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
We prove a strong convergence theorem for strongly quasi-nonexpansive sequence of mappings in Hilbert spaces. Moreover, we can improve the recent results of Tian and Jin (2011). We also give a simple proof of Marino-Xu’s result (2006).