Further Improvements and Applications on a Theorem Due to Reich  

Reich一个定理的改进及其应用(英文)

作　　者：周海云 石金玮 

机构地区：[1]Department of Mathematics, Ordnance Engineering College [2]College of Science and Technology, North China Electric Power University

出　　处：《Journal of Mathematical Research and Exposition》2008年第4期905-910,共6页数学研究与评论（英文版）

基　　金：the National Natural Science Foundation of China (No.10471033)

摘　　要：In this paper, by using new analysis techniques, we have studied iterative construc- tion problem for finding zeros of accretive mappings in uniformly smooth Banach spaces, and improved a theorem due to Reich. As its application, we have deduced a strong convergence theorem of fixed points for continuous pseudo-contractions.In this paper, by using new analysis techniques, we have studied iterative construc- tion problem for finding zeros of accretive mappings in uniformly smooth Banach spaces, and improved a theorem due to Reich. As its application, we have deduced a strong convergence theorem of fixed points for continuous pseudo-contractions.

关 键 词：accretive mapping pseudocontraction regularization iteration algorithm range condition Reich’s inequality. 

分 类 号：O177.91[理学—数学]