2-一致Banach空间中λ-严格伪压缩映像的弱收敛定理  

Weak convergence theorems for λ-strict pseudo-contractions in 2-uniformly smooth Banach spaces

作　　者：薛西峰[1] 黄梅娟[1] 王海霞[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《纺织高校基础科学学报》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)

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.

关 键 词：弱收敛 λ-严格伪压缩 修正的Mann迭代 2-一致光滑Banach空间 

分 类 号：O177.91[理学—数学]