严格渐进伪压缩映象之修正型Mann迭代算法的强收敛性  

Strong Convergence of Modified Mann Iteration for the Strictly Asymptotically Pseudocontractive Map

作　　者：饶若峰[1] 

机构地区：[1]宜宾学院数学系,宜宾四川644007

出　　处：《数学进展》2010年第3期283-288,共6页Advances in Mathematics（China）

基　　金：四川省教育厅自然科学基金青年项目(No.08ZB002)

摘　　要：本文利用CQ方法获得了k-严格渐进伪压缩映象修正型迭代算法的强收敛结果.此结果推广并改进了T.H.Kim和徐洪坤2006年获得的相应的一主要结果.即,从渐进非扩张映象推广到k-严格渐进伪压缩映象,并且去掉了闭凸子集C的有界性假设条件.In this paper,the author considers the CQ method,and obtains a strong convergence theorem of modified Mann iteration for a k-strictly asymptotically pseudocontractive map. The main result obtained in this paper extends and improves the corresponding main result of Kim-Xu published in 2006 from an asymptotically nonexpansive mapping to a k-strictly asymptotically pseudocontractive one,and deletes the boundedness condition on the closed convex subset C.

关 键 词：k-严格渐进伪压缩映象 CQ方法 最近点投影 

分 类 号：O177.91[理学—数学]