9 papers
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…
Hidden convexity of quadratic systems and its application to quadratic programming
Nguyen Quang Huy, Nguyen Huy Hung, Tran Van Nghi +2
In this paper, we present sufficient conditions ensuring that the sum of the image of quadratic functions and the nonnegative orthant is convex. The hidden convexity of the trust-r…
A proximal subgradient algorithm for constrained multiobjective DC-type optimization
Nguyen Van Tuyen, Minh N. Dao, Tran Van Nghi
In this paper, we consider a class of constrained multiobjective optimization problems, where each objective function can be expressed by adding a possibly nonsmooth nonconvex func…
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…
Directional Subdifferentials at Infinity and Its Applications
Le Ngoc Kien, Nguyen Van Tuyen, Tran Van Nghi
This paper investigates the behavior of sets and functions at infinity by introducing new concepts, namely directional normal cones at infinity for unbounded sets, along with limit…
On the existence and the stability of solutions in nonconvex vector optimization
Tran Van Nghi, Le Ngoc Kien, Nguyen Van Tuyen
The paper is devoted to the existence of weak Pareto solutions and the weak sharp minima at infinity property for a general class of constrained nonconvex vector optimization probl…