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arXiv · 2412.19557

On second-order optimality conditions for $C^{1,1}$ optimization problems via Lagrangian functions

Duong Thi Viet An·Nguyen Van Tuyen
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Abstract

This paper focuses on optimality conditions for $C^{1,1}$-smooth optimization problems subject to inequality and equality constraints. By employing the concept of limiting (Mordukhovich) second-order subdifferentials to the Lagrangian function associated with the problem, we derive new second-order optimality conditions for the considered problem. Applications for multiobjective optimization problems are studied as well. These results extend and refine existing results in the literature.

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Duong Thi Viet An, Nguyen Van Tuyen. 2024-12-27. On second-order optimality conditions for $C^{1,1}$ optimization problems via Lagrangian functions. https://arxiv.org/abs/2412.19557

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