20 citations · 24 across the 10 of their papers we have counts for
10 papers
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…
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…
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…
On second-order Karush--Kuhn--Tucker optimality conditions for vector optimization problems
Nguyen Van Tuyen
This paper focuses on optimality conditions for vector optimization problems with inequality constraints. By employing the limiting second-order subdifferential and the s…
Error Bounds for a Class of Cone-Convex Inclusion Problems
Nguyen Quang Huy, Nguyen Huy Hung, Nguyen Van Tuyen +1
In this paper, we investigate error bounds for cone-convex inclusion problems in finite-dimensional settings of the form , where is a smooth cone and is a contin…
On approximate quasi Pareto solutions in nonsmooth semi-infinite interval-valued vector optimization problems
Nguyen Huy Hung, Hoang Ngoc Tuan, Nguyen Van Tuyen
This paper deals with approximate solutions of a nonsmooth semi-infinite programming with multiple interval-valued objective functions. We first introduce four types of approximate…
Approximate solutions of interval-valued optimization problems
Nguyen Van Tuyen
This paper deals with approximate solutions of an optimization problem with interval-valued objective function. Four types of approximate solution concepts of the problem are propo…
Second-order optimality conditions for multiobjective optimization problems with constraints
Nguyen Quang Huy, Bui Trong Kien, Gue Myung Lee +1
In this paper, we introduce the second-order subdifferentials for functions which are Gâteaux differentiable on an open set and whose Gâteaux derivative mapping is locally Lipschit…
On second-order sufficient optimality conditions for vector optimization problems
Nguyen Van Tuyen, Jen-Chih Yao, Ching-Feng Wen +1
In this paper, we present some second-order sufficient conditions in terms of the Demyanov-Pevnyi's second-order directional derivatives for efficiency of vector optimization…
Second-order KKT optimality conditions for multi-objective optimal control problems
Bui Trong Kien, Nguyen Van Tuyen, Jen-Chih Yao
In this paper, we study second-order necessary and sufficient optimality conditions of Karush--Kuhn--Tucker-type for locally optimal solutions in the sense of Pareto to a class of…