101 citations · 167 across the 6 of their papers we have counts for
6 papers
On the Coderivative of the Projection Operator onto the Positive Cone in Hilbert spaces
Le Van Hien, Nguyen Viet Quan
In this paper, we study the generalized differentiability of the metric projection operator onto the positive cone in Hilbert spaces. We first establish the formula for exactly com…
Regular Coderivative and Graphical Derivative of the Metric Projection onto closed Balls in Hilbert spaces
Le Van Hien
In this paper, we first establish a formula for exactly computing the regular coderivative of the metric projection operator onto closed balls centered at the origin…
Some Results on the Strict Fréchet Differentiability of the Metric Projection Operator in Hilbert Spaces
Le Van Hien
In this paper, we first present a simpler proof of a result on the strict Fréchet differentiability of the metric projection operator onto closed balls centered at the origin in Hi…
New summation inequalities and their applications to discrete-time delay systems
Le Van Hien, Hieu Trinh
This paper provides new summation inequalities in both single and double forms to be used in stability analysis of discrete-time systems with time-varying delays. The potential cap…
Exponential stability of time-delay systems via new weighted integral inequalities
L. V. Hien, H. Trinh
In this paper, new weighted integral inequalities (WIIs) are first derived by refining the Jensen single and double inequalities. It is shown that the newly derived inequalities in…
On the existence and exponential attractivity of a unique positive almost periodic solution to an impulsive hematopoiesis model with delays
Trinh Tuan Anh, Tran Van Nhung, Le Van Hien
In this paper, a generalized model of hematopoiesis with delays and impulses is considered. By employing the contraction mapping principle and a novel type of impulsive delay inequ…