On optimality conditions for set-valued equilibrium problems

被引：0
作者：
Nguyen Le Hoang Anh
Nguyen Manh Truong Giang
Vo Duc Thinh
机构：
[1] University of Science,Department of Optimization and System Theory
[2] Vietnam National University,undefined
[3] Dong Thap University,undefined
来源：
Computational and Applied Mathematics | 2022年 / 41卷
关键词：
Optimality condition; Equilibrium problem; Set-valued Hadamard direction derivative; Pareto efficient solution; Set-valued map; 46G05; 54C60; 90C46;
D O I：
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学科分类号：
摘要：
In the paper, we propose the higher order Hadamard directional derivative, a new kind of generalized derivatives for set-valued maps. Then we establish optimality conditions for Pareto efficient solutions of equilibrium problems with mixed constraints using this derivative. For applications, we obtain optimality conditions for some mathematical models in optimization. Several examples are given to illustrate our results.
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