Multivalued solution mappings of partially pseudomonotone variational inequality problems and applications

被引：0

作者：

Tu, Ho Phi ^{[1
]}

Thanh, Do Duy ^{[1
]}

Anh, Pham Ngoc ^{[2
]}

An, Phan Thanh ^{[3
,4
,5
]}

机构：

[1] Hai Phong Univ, Dept Math, Hai Phong, Vietnam

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

[3] Ho Chi Minh City Univ Technol HCMUT, Inst Math & Computat Sci IMACS, 268 Ly Thuong Kiet St,Dist 10, Ho Chi Minh City, Vietnam

[4] Ho Chi Minh City Univ Technol HCMUT, Fac Appl Sci, 268 Ly Thuong Kiet St,Dist 10, Ho Chi Minh City, Vietnam

[5] Vietnam Natl Univ Ho Chi Minh City, Linh Trung Ward, Ho Chi Minh City, Vietnam

来源：

NUMERICAL ALGORITHMS | 2025年

关键词：

Variational inequality problem; Multivalued mapping; Pseudomonotone; Projection method; Quasicontractiveness; EXTRAGRADIENT METHOD; STRONG-CONVERGENCE; PROJECTION METHOD; STABILITY;

D O I：

10.1007/s11075-025-02160-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider solution mappings of partially pseudomonotone and Lipschitz continuous variational inequality problems in a real Hilbert space. First, we propose new multivalued solution mappings and prove some facts on their quasicontractive properties. As an application of the solution mappings, by using Halpern iteration technique, we give a new iteration algorithm and establish strong convergence by choosing suitable parameters. Finally, numerical experiments are conducted to illustrate the efficiency of our algorithm.

引用

页数：21

共 40 条

[1] Stability of generalized monotone maps with respect to their characterizations [J].