Abstract
A metric projection from the real Hilbert space onto a subset of the boundary of a closed convex (not necessary bounded) set is considered. We show a connection between Lipschitz continuity on some subset of the Hilbert space of operator of metric projection with the Lipschitz constant strictly less than 1 and local strong convexity of the set (in terms of modulus of convexity for intersection of a set and a ball with a small radius).
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
