Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 312454, 19 pages
Strong Convergence to Common Fixed Points of Countable Relatively Quasi-Nonexpansive Mappings
1Department of Mathematics, Statistics and Computer, Ubon Rajathanee University, Ubon Ratchathani 34190, Thailand
2Department of Mathematics, Khon Kaen University, Khon Kaen 40002, Thailand
Received 30 August 2007; Accepted 24 December 2007
Academic Editor: Simeon Reich
Copyright © 2008 Weerayuth Nilsrakoo and Satit Saejung. 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.
We prove that a sequence generated by the monotone CQ-method converges strongly to a common fixed point of a countable family of relatively quasi-nonexpansive mappings in a uniformly convex and uniformly smooth
Banach space. Our result is applicable to a wide class of mappings.