An Iterative Method for Solving the Multiple-Sets Split Variational Inequality Problem

被引：5

作者：

Tran Luu Cuong ^{[1
]}

Tran Viet Anh ^{[2
]}

机构：

[1] Van Lang Univ, Fac Basic Sci, 69-68 Dang Thuy Tram St,Ward 13, Ho Chi Minh City, Vietnam

[2] Posts & Telecommun Inst Technol, Dept Sci Fundamentals, Hanoi, Vietnam

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2022年 / 45卷 / 04期

关键词：

Multiple-sets split variational inequality problem; Minimum-norm solution; Strong convergence; Multiple-sets split feasibility problem; SUBGRADIENT EXTRAGRADIENT METHOD; FEASIBILITY PROBLEM; PROJECTION METHODS; STRONG-CONVERGENCE; ALGORITHMS;

D O I：

10.1007/s40840-022-01283-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we introduce a new algorithm for finding the minimum-norm solution of the multiple-sets split variational inequality problem in real Hilbert spaces. The strong convergence of the iterative sequence generated by the algorithm method is established under the condition that the mappings are monotone and Lipschitz continuous. We apply our main result to study the minimum-norm solution of the multiple-sets split feasibility problem and the split variational inequality problem. Finally, a numerical example is given to illustrate the proposed algorithm.

引用

页码：1737 / 1755

页数：19

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