Vector variational inequality as a tool for studying vector optimization problems

被引：139

作者：

Lee, GM

Kim, DS

Lee, BS

Yen, ND

机构：

[1] Pukyong Natl Univ, Dept Math Appl, Nam Gu, Pusan 608737, South Korea

[2] Kyungsung Univ, Dept Math, Nam Gu, Pusan 608736, South Korea

[3] Inst Math, Hanoi 10000, Vietnam

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1998年 / 34卷 / 05期

关键词：

vector variational inequality; vector optimization problem; strong monotonicity; strong convexity; solution set; connectedness; compactness; perturbation; sensitivity;

D O I：

10.1016/S0362-546X(97)00578-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

[No abstract available]

引用

页码：745 / 765

页数：21

共 50 条

[1] Vector variational inequality as a tool for studying vector optimization problems
Pukyong Natl Univ, Pusan, Korea, Republic of
[J]. Nonlinear Anal Theory Methods Appl, 5 (745-765):
[2] Vector variational inequality and vector pseudolinear optimization
Yang, XQ
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1997, 95 (03) : 729 - 734
[3] Vector Variational Inequality and Vector Pseudolinear Optimization
X. Q. Yang
[J]. Journal of Optimization Theory and Applications, 1997, 95 : 729 - 734
[4] Local Sharp Vector Variational Type Inequality and Optimization Problems
Kim, Jong Kyu
Salahuddin
[J]. MATHEMATICS, 2020, 8 (10) : 1 - 10
[5] SOLUTIONS OF VECTOR VARIATIONAL INEQUALITY PROBLEMS
Salahuddin
[J]. KOREAN JOURNAL OF MATHEMATICS, 2018, 26 (02): : 299 - 306
[6] On relations between vector variational inequality and vector optimization problem
Lee, GM
[J]. PROGRESS IN OPTIMIZATION: CONTRIBUTIONS FROM AUSTRALASIA, 2000, 39 : 167 - 179
[7] Relationships between vector variational-like inequality and optimization problems
Ruiz-Garzón, G
Osuna-Gómez, R
Rufián-Lizana, A
[J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2004, 157 (01) : 113 - 119
[8] On the unconstrained optimization reformulations for a class of stochastic vector variational inequality problems
Dan-dan Dong
Guo-ji Tang
Hui-ming Qiu
[J]. Journal of Inequalities and Applications, 2023
[9] Some relations between vector variational inequality problems and nonsmooth vector optimization problems using quasi efficiency
S. K. Mishra
B. B. Upadhyay
[J]. Positivity, 2013, 17 : 1071 - 1083
[10] On the unconstrained optimization reformulations for a class of stochastic vector variational inequality problems
Dong, Dan-dan
Tang, Guo-ji
Qiu, Hui-ming
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)

← 1 2 3 4 5 →