摘要
E是2-一致光滑一致凸的Banach空间,C是E中的闭凸子集,T:C→C为λ-严格伪压缩映像.通过讨论修正的Mann迭代x1∈C,xn+1=(1-αn)xn+αnTnxn,n≥1.当{αn}满足适当的条件,{xn}弱收敛于T的某个不动点,这个结果推广了目前的已知结论.
Let C be a closed convex subset of a 2-uniformly smooth Banach space E which is uniformly convex and assume that T is a λ- strict pseudo-contraction on C . The modified Mann＇s iteration generated a sequence { xn } by the formula x1∈C,xa＋1＋（1-αn）xn＋αnT^nxn,n≥1 It is proved if c^n satisfy appropriate conditions , then the {xn} converges weakly to a fixed point T. Some vailable results are improved and generalized.
出处
《纺织高校基础科学学报》
CAS
2009年第1期41-44,共4页
Basic Sciences Journal of Textile Universities
基金
陕西省教育厅自然科学专项基金(06JK170)
作者简介
通讯作者：薛西峰（1961-），男，陕西省华县人，西北大学教授．E-mail：xuefr390@163．com
