A new hybrid iteration method for a finite family of asymptotically nonexpansive mappings in Banach spaces

Fixexd point theory and applications

Feng Gu¹ 

[1] Department of Mathematics, Institute of Applied Mathematics, Hangzhou Normal University, Hangzhou, China

关键词: asymptotically nonexpansive mapping;    nonexpansive mapping;    hybrid iteration method;    common fixed point;    Opial condition;    demi-closed principle;    semi-compactness;   

DOI  :  10.1186/1687-1812-2013-322

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we first introduce a new hybrid iteration method for a finite family of asymptotically nonexpansive mappings and nonexpansive mappings in Banach spaces, and then we discuss the strong and weak convergence for the iterative processes. The results presented in this paper extend and improve the corresponding results of Wang and Osilike. MSC:47H05, 47H09, 49M05.

【 授权许可】

CC BY