International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 236269, 9 pages
doi:10.1155/2008/236269
Strong convergence theorem for two commutative asymptotically nonexpansive mappings in Hilbert space
Jianjun Liu
, Lili He
and Lei Deng
School of Mathematics and Statistics, Southwest University, Chongqing 400715, China
Abstract
C is a bounded closed convex subset of a Hilbert space H, T and S:C→C are two asymptotically nonexpansive mappings such that ST=TS. We establish a strong convergence theorem for S and T in Hilbert space by hybrid method. The results generalize and unify many corresponding results.