10.3969/j.issn.1005-3085.2012.05.022
Hybrid Iteration Method for a Finite Family of Asymptotically Nonexpansive Mappings in Banach Spaces
Rounding errors often cause no convergence for an iteration sequence or result distortion in many fixed point iterative methods. In this paper, we study an iteration method with a random error, and establish the weak and strong convergence theorems for hybrid iteration method. The results extend Wang’s results from Hilbert spaces to Banach spaces, and extend Osilike’s results from a nonexpansive mapping to a finite family of asymptotically nonexpansive mappings in Banach spaces.
asymptotically nonexpansive mapping、fixed point、hybrid iteration method
O177.91(数学分析)
2012-11-06(万方平台首次上网日期,不代表论文的发表时间)
共7页
780-786