The strong convergence theorems for split common fixed point problem of asymptotically nonexpansive mappings in Hilbert spaces

被引：1050

作者：

Zhang, Xin-Fang ^{[1
]}

Wang, Lin ^{[1
]}

Ma, Zhao Li ^{[2
]}

Qin, Li Juan ^{[3
]}

机构：

[1] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming, Peoples R China

[2] Yunnan Normal Univ, Sch Informat Engn, Coll Arts & Sci, Kunming 650222, Peoples R China

[3] Kunming Univ, Dept Math, Kunming 650214, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

基金：

中国国家自然科学基金;

关键词：

split common fixed point problem; asymptotically nonexpansive mapping; strong convergence; Hilbert space; algorithm; FEASIBILITY PROBLEM; CQ ALGORITHM; SETS;

D O I：

10.1186/1029-242X-2015-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an iterative algorithm is introduced to solve the split common fixed point problem for asymptotically nonexpansive mappings in Hilbert spaces. The iterative algorithm presented in this paper is shown to possess strong convergence for the split common fixed point problem of asymptotically nonexpansive mappings although the mappings do not have semi-compactness. Our results improve and develop previous methods for solving the split common fixed point problem.

引用

页数：11

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