Strong Convergence to Common Fixed Points for Countable Families of Asymptotically Nonexpansive Mappings and Semigroups

Fixexd point theory and applications

Poom Kumam¹  Kriengsak Wattanawitoon² 

[1] Centre of Excellence in Mathematics, CHE, Bangkok, Thailand;Department of Mathematics and Statistics, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Tak, Tak, Thailand

关键词: Hilbert Space;    Nonexpansive Mapping;    Iteration Process;    Nonempty Closed Convex Subset;    Strong Convergence Theorem;   

DOI  :  10.1155/2010/301868

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We prove strong convergence theorems for countable families of asymptotically nonexpansive mappings and semigroups in Hilbert spaces. Our results extend and improve the recent results of Nakajo and Takahashi (2003) and of Zegeye and Shahzad (2008) from the class of nonexpansive mappings to asymptotically nonexpansive mappings.

【 授权许可】

CC BY