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Optimality Conditions at Infinity for Nonsmooth Minimax Programming Problems with Some Applications
Optimality Conditions at Infinity for Nonsmooth Minimax Programming Problems with Some Applications
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Optimality Conditions at Infinity for Nonsmooth Minimax Programming Problems with Some Applications
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Optimality Conditions at Infinity for Nonsmooth Minimax Programming Problems with Some Applications
Optimality Conditions at Infinity for Nonsmooth Minimax Programming Problems with Some Applications

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Optimality Conditions at Infinity for Nonsmooth Minimax Programming Problems with Some Applications
Optimality Conditions at Infinity for Nonsmooth Minimax Programming Problems with Some Applications
Journal Article

Optimality Conditions at Infinity for Nonsmooth Minimax Programming Problems with Some Applications

2025
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Overview
This paper is devoted to the study of optimality conditions at infinity in nonsmooth minimax programming problems and their applications. By means of the limiting subdifferential and the normal cone at infinity, we derive necessary and sufficient optimality conditions of the Karush–Kuhn–Tucker type for nonsmooth minimax programming problems with constraints. The obtained results are applied to nonsmooth vector optimization problems and robust minimax optimization ones.