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;

D O I：

暂无

中图分类号：

学科分类号：

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).

引用

页码：703 / 723

页数：20

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