Explicit averaging cyclic algorithm for common fixed points of a finite family of asymptotically strictly pseudocontractive mappings in q-uniformly smooth Banach spaces

被引：1

作者：

Zhang, Ying ^{[1
,2
]}

Xie, Zhiwei ^{[3
]}

机构：

[1] N China Elect Power Univ, Sch Math & Phys, Baoding 071003, Hebei, Peoples R China

[2] Renmin Univ China, Sch Econ, Beijing 100872, Peoples R China

[3] Easyway Co Ltd, Beijing 100872, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2012年

关键词：

asymptotically strictly pseudocontractive mappings; weak and strong convergence; explicit averaging cyclic algorithm; fixed points; q-uniformly smooth Banach spaces; PSEUDO-CONTRACTIONS; HILBERT-SPACES;

D O I：

10.1186/1687-1812-2012-167

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let E be a real q-uniformly smooth Banach space which is also uniformly convex and K be a nonempty, closed and convex subset of E. We obtain a weak convergence theorem of the explicit averaging cyclic algorithm for a finite family of asymptotically strictly pseudocontractive mappings of K under suitable control conditions, and elicit a necessary and sufficient condition that guarantees strong convergence of an explicit averaging cyclic process to a common fixed point of a finite family of asymptotically strictly pseudocontractive mappings in q-uniformly smooth Banach spaces. The results of this paper are interesting extensions of those known results. MSC: 47H09, 47H10.

引用

页数：12

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