Iterative methods for split variational inclusion and fixed point problem of nonexpansive semigroup in Hilbert spaces

被引：6

作者：

Wen, Dao-Jun ^{[1
]}

Chen, Yi-An ^{[1
]}

机构：

[1] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

基金：

美国国家科学基金会;

关键词：

split variational inclusion; nonexpansive semigroup; fixed point; averaged mapping; general iterative method; MAPPINGS; CONVERGENCE; OPERATORS;

D O I：

10.1186/s13660-014-0528-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a general iterative method for a split variational inclusion and nonexpansive semigroups in Hilbert spaces. We also prove that the sequences generated by the proposed algorithm converge strongly to a common element of the set of solutions of a split variational inclusion and the set of common fixed points of one-parameter nonexpansive semigroups, which also solves a class of variational inequalities as an optimality condition for a minimization problem. Moreover, a numerical example is given, to illustrate our methods and results, which may be viewed as a refinement and improvement of the previously known results announced by many other authors.

引用

页码：1 / 14

页数：14

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