Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 312454, 19 pages
doi:10.1155/2008/312454
Strong convergence to common fixed points of countable relatively quasi-nonexpansive mappings
Weerayuth Nilsrakoo1
and Satit Saejung2
1Department of Mathematics, Statistics and Computer, Ubon Rajathanee University, Ubon Ratchathani 34190, Thailand
2Department of Mathematics, Khon Kaen University, Khon Kaen 40002, Thailand
Abstract
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.