Data di Pubblicazione:
2023
Citazione:
Rotundity properties, and non-extendability of Lipschitz quasiconvex functions / C.A. De Bernardi, L. Vesely. - In: JOURNAL OF CONVEX ANALYSIS. - ISSN 0944-6532. - 30:1(2023), pp. 329-342.
Abstract:
Let A be an open convex subset of a real normed linear space X. We prove that if the boundary
of A contains a non-LUR point then there exists a Lipschitz quasiconvex function f : A → R not
admitting any continuous quasiconvex extension to the whole X.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Lipschitz function; quasiconvex function; LUR point; exposing functional
Elenco autori:
C.A. De Bernardi, L. Vesely
Link alla scheda completa: