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

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.