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.
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页码：1 / 11
页数：11
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