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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Vydáno v:	Journal of optimization theory and applications Ročník 200; číslo 2; s. 703 - 723
Hlavní autoři:	Huyen, Duong Thi Kim, Kim, Do Sang, Yen, Nguyen Dong
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York Springer US 01.02.2024 Springer Nature B.V
Témata:	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 Lower regular function Limiting subdifferential Sum rule 49J53 49J52 Nondifferentiable minimax program in an Asplund space 49J40 Optimality condition 26B25 Monotonicity Vector optimization
ISSN:	0022-3239, 1573-2878
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