Existence conditions for solutions of bilevel vector equilibrium problems with application to traffic network problems with equilibrium constraints

被引:0
|
作者
Nguyen Van Hung
Vo Viet Tri
Donal O’Regan
机构
[1] Ton Duc Thang University,Department for Management of Science and Technology Development
[2] Ton Duc Thang University,Faculty of Mathematics and Statistics
[3] Thu Dau Mot University,Faculty of Natural Science
[4] National University of Ireland,School of Mathematics, Statistics and Applied Mathematics
来源
Positivity | 2021年 / 25卷
关键词
Bilevel vector equilibrium problems; Traffic network problems with equilibrium constraints; Existence conditions; 47J20; 49J40;
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学科分类号
摘要
In this paper, we introduce some strong and weak bilevel vector equilibrium problems in locally convex Hausdorff topological vector spaces and present some conditions for the existence of solutions to these problems by using the Kakutani–Fan–Glicksberg fixed-point theorem. Furthermore, as a real-world application, we obtain the existence of solutions to traffic network problems with equilibrium constraints.
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页码:213 / 228
页数:15
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