%0 Journal Article
%T Viscosity approximation methods for strictly pseudocontractive mappings of Browder-petryshyn type<br>Browder-Petryshyn 型的严格伪压缩映射的粘滞迭代逼近方法
%A Chen Rudong
%A Song Yisheng
%A <br>陈汝栋
%A 宋义生
%J 系统科学与数学
%D 2006
%I 
%X In this paper, we study viscosity approximation process for strictly pseudo-contractive mapping T of Browder-Petryshyn type and prove that the fixed point set F(T) is a closed convex subset. We obtain a weak convergence theorem of strictly pseudocontractive self-mapping T of a closed convex subset K of a q-uniformly smooth Banach space which is also uniformly convex using viscosity approximation process {xt}, where xt = tf(xt) (1-t)Txt, f is an L-Lipschitz strongly pseudocontractive maping. We also prove that {xt} strongly converge to a fixed point of T which solves some variational inequality in Hilbert space. The results extend and improve the corresponding results of Xu Hongkun(2004).
%K Strictly pseudocontractive mapping
%K viscosity approximation
%K fixed points
%K closed convex set<br>严格伪压缩映射
%K 粘滞迭代方法
%K 不动点
%K 闭凸集
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=F43B3E7D1BB84123&yid=37904DC365DD7266&vid=96C778EE049EE47D&iid=B31275AF3241DB2D&sid=7004BE6E41AAF52C&eid=E934BC2766053B28&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=7