Generalized Minty Vector Variational-Like Inequalities and Vector Optimization Problems

被引：45

作者：

Al-Homidan, S. ^{[2
]}

Ansari, Q. H. ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh, Uttar Pradesh, India

[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2010年 / 144卷 / 01期

关键词：

Generalized vector variational-like inequalities; Vector optimization problems; Invex functions; Generalized subdifferential; MEAN-VALUE; INVEXITY;

D O I：

10.1007/s10957-009-9591-7

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：

In this paper, we study the relationship among the generalized Minty vector variational-like inequality problem, generalized Stampacchia vector variational-like inequality problem and vector optimization problem for nondifferentiable and nonconvex functions. We also consider the weak formulations of the generalized Minty vector variational-like inequality problem and generalized Stampacchia vector variational-like inequality problem and give some relationships between the solutions of these problems and a weak efficient solution of the vector optimization problem.

引用

页码：1 / 11

页数：11

共 50 条

[21] GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITIES WITH CORRESPONDING NON-SMOOTH VECTOR OPTIMIZATION PROBLEMS
Lee, Byung-Soo
[J]. JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2008, 15 (02): : 203 - 207
[22] Generalized Vector Variational-Like Inequalities
T. Jabarootian
J. Zafarani
[J]. Journal of Optimization Theory and Applications, 2008, 136 : 15 - 30
[23] On vector variational-like inequalities and vector optimization problems with (G,α)-invexity
JAYSWAL Anurag
CHOUDHURY Sarita
[J]. Applied Mathematics:A Journal of Chinese Universities, 2017, 32 (03) : 323 - 338
[24] Vector variational-like inequalities and vector optimization problems in Asplund spaces
Bin Chen
Nan-Jing Huang
[J]. Optimization Letters, 2012, 6 : 1513 - 1525
[25] Vector nonsmooth variational-like inequalities and optimization problems
Farajzadeh, Ali
Noor, Muhammad Aslam
Noor, Khalida Inayat
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) : 3471 - 3476
[26] Nonsmooth Vector Optimization Problems and Minty Vector Variational Inequalities
Q. H. Ansari
G. M. Lee
[J]. Journal of Optimization Theory and Applications, 2010, 145 : 1 - 16
[27] Nonsmooth Vector Optimization Problems and Minty Vector Variational Inequalities
Ansari, Q. H.
Lee, G. M.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2010, 145 (01) : 1 - 16
[28] Vector optimization and variational-like inequalities
Rezaie, M.
Zafarani, J.
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2009, 43 (01) : 47 - 66
[29] On Minty vector variational-like inequality
Gang, Xiao
Liu, Sanyang
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (02) : 311 - 323
[30] Vector optimization and variational-like inequalities
M. Rezaie
J. Zafarani
[J]. Journal of Global Optimization, 2009, 43 : 47 - 66

← 1 2 3 4 5 →