Optimality conditions at infinity for nonsmooth minimax programming

Nguyen Van Tuyen; Kwan Deok Bae; Do Sang Kim

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arXiv · 2405.09869

Optimality conditions at infinity for nonsmooth minimax programming

Nguyen Van Tuyen·Kwan Deok Bae·Do Sang Kim

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Abstract

This paper is devoted to study of optimality conditions at infinity in nonsmooth minimax programming problems and applications. By means of the limiting subdifferential and normal cone at infinity, we dirive necessary and sufficient optimality conditions of Karush--Kuhn--Tucker type for nonsmooth minimax programming problems with constraint. The obtained results are applied to a nonsmooth vector optimization problem.

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Nguyen Van Tuyen, Kwan Deok Bae, Do Sang Kim. 2024-05-16. Optimality conditions at infinity for nonsmooth minimax programming. https://arxiv.org/abs/2405.09869

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