On the Coderivative of the Projection Operator onto the Positive Cone in Hilbert spaces
Functional Analysis
2024-07-12 v1
Abstract
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 computing the regular coderivative and the Mordukhovich coderivative of the metric projection operator onto the positive cone in Euclidean spaces. Then, these results are also established for the projection operator onto the positive cone in the real Hilbert space .
Cite
@article{arxiv.2407.08007,
title = {On the Coderivative of the Projection Operator onto the Positive Cone in Hilbert spaces},
author = {Le Van Hien and Nguyen Viet Quan},
journal= {arXiv preprint arXiv:2407.08007},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:2406.18377