摘要
首次引进涉及渐近非扩张映象T的显式迭代xn+1=αnf(xn)+(1-αn)Tnxn,其中f是压缩映象.在自反Banach空间框架下,获得了该迭代序列强收敛于T的一不动点的充要条件.将此结果应用到保核收缩映象,又获得一新的强收敛判定法.
A explicit iteration xn＋1=αnf（xn）＋（1-αn）T^nxn is originally introduced, where T is an asymptotically nonex- pansive mapping, and f is a contractive mapping. The suffcient and necessary conditions for the iterative sequence strongly converging to a fixed point of T are obtained, which is applied to retraction so that another new strong convergence theorem is set up.
出处
《宜宾学院学报》
2009年第12期35-37,共3页
Journal of Yibin University
基金
四川省教育厅青年基金(08ZB002)
关键词
渐近非扩张映象
压缩映象
弱序列连续的对偶映象
asymptotically nonexpansive mapping
contractive mapping
weak sequentially continuous duality mapping
