Optimality Conditions for Nondifferentiable Minimax Programs and Vector Optimization Problems

被引：0
|
作者：
Duong Thi Kim Huyen
Do Sang Kim
Nguyen Dong Yen
机构：
[1] Phenikaa University,ORLab, Faculty of Computer Science
[2] Pukyong National University,Department of Applied Mathematics
[3] Vietnam Academy of Science and Technology,Institute of Mathematics
来源：
Journal of Optimization Theory and Applications | 2024年 / 200卷
关键词：
Nondifferentiable minimax program in an Asplund space; Optimality condition; Limiting subdifferential; Sum rule; Lower regular function; Monotonicity; Vector optimization; 26B25; 49J40; 49J52; 49J53;
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摘要：
First-order sufficient optimality conditions in terms of Lagrangian functions and Lagrange multipliers for nondifferentiable minimax programs and vector optimization problems in an Asplund space setting are obtained in this paper. Two illustrative examples are given. Our results implement the first-order necessary optimality conditions of Chuong and Kim (Ann Oper Res 251:73–87, 2017).
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页码：703 / 723
页数：20
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