Regularization Proximal Method for Monotone Variational Inclusions

被引：4

作者：

Van Hieu, Dang ^{[1
]}

Anh, Pham Ky ^{[2
]}

Ha, Nguyen Hai ^{[3
]}

机构：

[1] Thang Long Univ, TIMAS, Hanoi, Vietnam

[2] Vietnam Natl Univ, Dept Math, Hanoi, Vietnam

[3] Univ Transport & Commun, Fac Basic Sci, Hanoi, Vietnam

来源：

NETWORKS & SPATIAL ECONOMICS | 2021年 / 21卷 / 04期

关键词：

Variational inclusion; Iterative method; Regularization; Monotonicity; BACKWARD SPLITTING METHOD; CONTRACTION METHODS; PROJECTION; ALGORITHM; EXTRAGRADIENT; INEQUALITIES; OPERATORS;

D O I：

10.1007/s11067-021-09552-7

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The paper concerns with a new iterative method for solving a monotone variational inclusion problem in a Hilbert space. The method is of the proximal contraction type incorporated with the regularization technique. Under the prediction stepsize conditions, we establish the strong convergence of the iterative sequences generated by the method to a particular solution of the problem satisfying a variational inequality problem. Finally, we give some numerical examples to illustrate the behavior of the new method in comparison with existing ones.

引用

页码：905 / 932

页数：28

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