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

2024/12/27 by Duong Thi Viet An, An, Duong Thi Viet, Nguyen Van Tuyen +1
Computer Science · #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2412.19557

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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