Mordukhovich derivatives of the metric projection operator in uniformly convex and uniformly smooth Banach spaces

Abstract

In this paper, we investigate the properties of the Mordukhovich derivatives of the metric projection operator onto closed balls, closed and convex cylinders and positive cones in uniformly convex and uniformly smooth Banach spaces. We find the exact expressions for Mordukhovich derivatives of the metric projection operator.

arXiv comment47 pages. This is a new article. arXiv admin note: substantial text overlap with arXiv:2401.01480; text overlap with arXiv:2401.01906