On the Stability of Solution Mappings Parametric Generalized Vector Quasivariational Inequality Problems of the Minty Type

被引:5
|
作者
Lam Quoc Anh [1 ]
Nguyen Van Hung [2 ,3 ]
机构
[1] Cantho Univ, Teacher Coll, Dept Math, Can Tho, Vietnam
[2] Ton Duc Thang Univ, Dept Management Sci & Technol Dev, Ho Chi Minh City, Vietnam
[3] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
关键词
Parametric weak and strong generalized vector quasivariational inequality problems of the Minty type; Upper semicontinuity; Lower semicontinuity; Hausdorff lower semicontinuity; Continuity; Hausdorff continuity; Closedness; OPTIMAL SOLUTION SETS; EQUILIBRIUM PROBLEMS; LOWER SEMICONTINUITY; HOLDER CONTINUITY; METRIC-SPACES; EXISTENCE;
D O I
10.2298/FIL1703747A
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study two parametric weak and strong vector quasivariational inequality problems of the Minty type. The stability properties of the exact solution sets and approximate solution sets for these problems such as the upper semicontinuity, the lower semicontinuity, the Hausdorff lower semicontinuity, the continuity and the Hausdorff continuity are obtained. The results presented in the paper improve and extend the main results in the literature.
引用
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页码:747 / 757
页数:11
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