Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 218573, 11 pages
doi:10.1155/2010/218573
Some weak convergence theorems for a family of asymptotically nonexpansive nonself mappings
Yan Hao1
, Sun Young Cho2
and Xiaolong Qin3
1School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan 316004, China
2Department of Mathematics, Gyeongsang National University, Jinju 660-701, South Korea
3Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China
Abstract
A one-step iteration with errors is considered for a family of asymptotically nonexpansive nonself mappings. Weak convergence of the purposed iteration is obtained in a Banach space.