A global optimization approach for solving non-monotone variational inequality problems

被引：2

作者：

Majig, M. ^{[1
]}

Barsbold, B. ^{[2
]}

Enkhbat, R. ^{[2
]}

Fukushima, M. ^{[1
]}

机构：

[1] Kyoto Univ, Grad Sch Informat, Dept Appl Math & Phys, Kyoto 6068501, Japan

[2] Natl Univ Mongolia, Dept Appl Math, Sch Math & Comp Sci, Ulaanbaatar, Mongolia

来源：

OPTIMIZATION | 2009年 / 58卷 / 07期

关键词：

variational inequality; global optimization; branch and bound method; Lipschitz continuity; ALGORITHMS;

D O I：

10.1080/02331930902945009

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 aim of this article is to reformulate the non-monotone variational inequality problem as a global optimization problem and present a branch and bound method for solving it. Under a mild condition, it is shown that the equivalent optimization problem enjoys a Lipschitz property. The proposed approach is illustrated with computational experiments.

引用

页码：871 / 881

页数：11

共 50 条

[31] Hybrid evolutionary algorithm for solving general variational inequality problems
Mend-Amar Majig
Abdel-Rahman Hedar
Masao Fukushima
Journal of Global Optimization, 2007, 38 : 637 - 651
[32] Hybrid evolutionary algorithm for solving general variational inequality problems
Majig, Mend-Amar
Hedar, Abdel-Rahman
Fukushima, Masao
JOURNAL OF GLOBAL OPTIMIZATION, 2007, 38 (04) : 637 - 651
[33] A new projection and contraction method for solving split monotone variational inclusion, pseudomonotone variational inequality, and common fixed point problems
Alakoya, T. O.
Uzor, V. A.
Mewomo, O. T.
COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (01)
[34] Solving Engineering Optimization Problems by a Deterministic Global Optimization Approach
Lin, Ming-Hua
Tsai, Jung-Fa
Wang, Pei-Chun
APPLIED MATHEMATICS & INFORMATION SCIENCES, 2012, 6 (03): : 1101 - 1107
[35] An Inertial Projection and Contraction Scheme for Monotone Variational Inequality Problems
Garba, Abor Isa
Abubakar, Jamilu
Sidi, Shehu Abubakar
THAI JOURNAL OF MATHEMATICS, 2021, 19 (03): : 1112 - 1133
[36] Application of Variational Inequality Theory in solving optimization with inequality constraints
Jiang Wei
Wang Yanhai
Feng Qiang
2011 INTERNATIONAL CONFERENCE ON COMPUTERS, COMMUNICATIONS, CONTROL AND AUTOMATION (CCCA 2011), VOL II, 2010, : 559 - 561
[37] On solving variational inequality problems involving quasi-monotone operators via modified Tseng's extragradient methods with convergence analysis
Wairojjana, Nopparat
Pakkaranang, Nuttapol
Noinakorn, Supansa
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2022, 27 (01): : 42 - 58
[38] Modified inertial viscosity extrapolation method for solving quasi-monotone variational inequality and fixed point problems in real Hilbert spaces
Abuchu, Jacob A.
Ofem, Austine E.
Isik, Huseyin
Ugwunnadi, Godwin C.
Narain, Ojen K.
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2024, 2024 (01)
[39] A Filled Function Method for Solving Variational Inequality Problems
Yuan, Liuyang
Wan, Zhongping
Chen, Jiawei
2012 INTERNATIONAL CONFERENCE ON CONTROL ENGINEERING AND COMMUNICATION TECHNOLOGY (ICCECT 2012), 2012, : 201 - 204
[40] Inertial Algorithms for Solving Nonmonotone Variational Inequality Problems
Tuyen, Bien Thanh
Manh, Hy Duc
Van Dinh, Bui
TAIWANESE JOURNAL OF MATHEMATICS, 2024, 28 (02): : 397 - 421

← 1 2 3 4 5 →