摘要
Let C be a nonempty bounded closed convex subset of a uniformly convex Banach space with a Fréchet differentiable norm, and G be a directed system , let T= {T t:t∈G} be asymptotically nonexpansive type mappings on C . We give the weak convergence theorem of {T t:t∈G} in this paper.
设C是具Fréchet可微范数的一致凸Banach空间E的非空凸闭子集,G是定向集.{Tt:t∈G}是C上的渐近非扩张型映照.本文给出了{Tt:t∈G}的弱收敛定理.