Strong convergence theorems for a class of split feasibility problems and fixed point problem in Hilbert spaces

被引：1

作者：

Zhu, Jinhua ^{[1
]}

Tang, Jinfang ^{[1
]}

Chang, Shih-sen ^{[2
]}

机构：

[1] Yibin Univ, Dept Math, Yibin, Peoples R China

[2] China Med Univ, Ctr Gen Educ, Taichung, Taiwan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年

关键词：

Split feasibility; Maximal monotone operators; Inverse strongly monotone operator; Fixed point problems; Strong convergence theorems; ITERATIVE ALGORITHMS;

D O I：

10.1186/s13660-018-1881-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a class of split feasibility problem by focusing on the solution sets of two important problems in the setting of Hilbert spaces. One of them is the set of zero points of the sum of two monotone operators and the other is the set of fixed points of mappings. By using the modified forward-backward splitting method, we propose a viscosity iterative algorithm. Under suitable conditions, some strong convergence theorems of the sequence generated by the algorithm to a common solution of the problem are proved. At the end of the paper, some applications and the constructed algorithm are also discussed.

引用

页数：15

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