Optimality Conditions for Nondifferentiable Minimax Programs and Vector Optimization Problems

Optimality Conditions for Nondifferentiable Minimax Programs and Vector Optimization Problems

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-...

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Veröffentlicht in:Journal of optimization theory and applications 2024-02, Vol.200 (2), p.703-723
Hauptverfasser: Huyen, Duong Thi Kim, Kim, Do Sang, Yen, Nguyen Dong
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Applied mathematics
Approximation
Calculus of Variations and Optimal Control
Optimization
Engineering
Lagrange multiplier
Lagrangian function
Mathematical functions
Mathematical programming
Mathematics
Mathematics and Statistics
Minimax technique
Operations Research/Decision Theory
Optimality criteria
Optimization
Theory of Computation
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Beschreibung
Zusammenfassung: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).
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-023-02366-2