Showing math.FAShow all
3 papers · 1 filter
math.FA2024
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…
math.FA2024
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…
math.FA2024
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…