3 papers
math.OC2026
Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials
Luu Thi Thu Huyen, Liguo Jiao, Nguyen Van Tuyen
In this paper, we investigate a class of sparse optimization problems in which both the objective and constraint functions are Fréchet differentiable and possess locally Lipschitz…
math.OC2025
Exact penalty functions in optimization with unbounded constraint sets
Liguo Jiao, Tien-Son Pham, Nguyen Van Tuyen
This paper identifies necessary and sufficient conditions for the exactness of penalty functions in optimization problems whose constraint sets are not necessarily bounded. The cas…
math.OC2024
Approximate optimality conditions and sensitivity analysis in nearly convex optimization
Nguyen Van Tuyen, Liguo Jiao, Vu Hong Quan +1
In this paper, approximate optimality conditions and sensitivity analysis in nearly convex optimization are discussed. More precisely, as in the spirit of convex analysis, we intro…