Viscosity approximation methods for solving fixed-point problems and split common fixed-point problems

被引：41

作者：

Duong Viet Thong ^{[1
]}

机构：

[1] Natl Econ Univ, Fac Econ Math, 207 Giai Phong St, Hanoi, Vietnam

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2017年 / 19卷 / 02期

关键词：

Fixed-point theory; Split common fixed-point problem; Split feasibility problem; Split variational inequality problem; Split null point problem; ALGORITHMS; SET;

D O I：

10.1007/s11784-016-0323-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the strong convergence theorem for the viscosity approximation methods for solving the split common fixed-point problem in Hilbert spaces. As a consequence, we obtain strong convergence theorems for split variational inequality problems for Lipschitz continuous and monotone operators and split common null point problems for maximal monotone operators. Our results improve and extend the corresponding results announced by many others.

引用

页码：1481 / 1499

页数：19

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