NEW ITERATIVE METHODS FOR FINDING A COMMON ZERO OF A FINITE FAMILY OF MONOTONE OPERATORS IN HILBERT SPACES

被引：5

作者：

Kim, Jong Kyu ^{[1
]}

Truong Minh Tuyen ^{[2
]}

机构：

[1] Kyungnam Univ, Dept Math Educ, Chang Won 51767, South Korea

[2] Thainguyen Univ, Coll Sci, Thainguyen, Vietnam

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2017年 / 54卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

monotone operators; proximal point algorithm; common zero; STRONG-CONVERGENCE THEOREMS; ACCRETIVE-OPERATORS; MAPPINGS; WEAK;

D O I：

10.4134/BKMS.b160581

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to give some new iterative methods for finding a common zero of a finite family of monotone operators in Hilbert spaces. We also give the applications of the obtained result for the convex feasibility problem and constrained convex optimization problem in Hilbert spaces.

引用

页码：1347 / 1359

页数：13

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