隐迭代序列的有限族渐近非扩张映像的强收敛  

Strong Convergence of An Implicit Iteration Process for A Finite Family of Nonexpansive Mappings

作　　者：王广兰[1] 吴艳[1] 

机构地区：[1]临沂师范学院数学系,山东临沂276005

出　　处：《洛阳大学学报》2007年第2期18-22,共5页Journal of Luoyang University

基　　金：国家自然科学基金资助项目(项目编号:10671086)

摘　　要：在一致凸的Banach空间中,提出了一类新的两步隐迭代序列,在要求映象集族内某个T是半紧的条件下,证明了此序列收敛到有限族渐近非扩张映象的一般不动点.所得结果推广和改进了近期相应的结果.We give and prove that modified implicit iteration sequence for a finite family of nonexpansive mappings convers strongly to a common fixed point of the family in a uniformly convex Banach space, requiring one member T in the family to be semicompact. Our results extend and improve some recent results.

关 键 词：一致凸性 隐迭代序列 非扩张映象 

分 类 号：O177.91[理学—数学]