Strong convergence of a general iterative algorithm for a finite family of accretive operators in Banach spaces

被引：4

作者：

Song, Yanlai ^{[1
]}

Ceng, Luchuan ^{[2
]}

机构：

[1] Zhongyuan Univ Technol, Coll Sci, Zhengzhou 450007, Peoples R China

[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2015年

关键词：

iterative algorithm; strong convergence; fixed point; q-uniformly smooth Banach space; inverse-strongly accretive operator; VALUED VARIATIONAL INCLUSIONS; NONEXPANSIVE-MAPPINGS; SYSTEM; APPROXIMATION; INEQUALITIES; THEOREMS; ZERO;

D O I：

10.1186/s13663-015-0335-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to present a new iterative scheme for finding a common solution to a variational inclusion problem with a finite family of accretive operators and a modified system of variational inequalities in infinite-dimensional Banach spaces. Under mild conditions, a strong convergence theorem for approximating this common solution is proved. The methods in the paper are novel and different from those in the early and recent literature.

引用

页数：24

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