A Clarke–Ledyaev Type Inequality for Certain Non–Convex Sets

Ivanov, M., and Zlateva, N.. "A Clarke–Ledyaev Type Inequality for Certain Non–Convex Sets." Serdica Mathematical Journal 26.4 (2000): 277-286. <http://eudml.org/doc/11494>.

@article{Ivanov2000,
abstract = {We consider the question whether the assumption of convexity of the set involved in Clarke-Ledyaev inequality can be relaxed. In the case when the point is outside the convex hull of the set we show that Clarke-Ledyaev type inequality holds if and only if there is certain geometrical relation between the point and the set.},
author = {Ivanov, M., Zlateva, N.},
journal = {Serdica Mathematical Journal},
keywords = {Nonsmooth Analysis; Mean Value Theorem; Subdifferential; nonsmooth analysis; mean value theorem; subdifferential; Clarke-Ledyaev inequality},
language = {eng},
number = {4},
pages = {277-286},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {A Clarke–Ledyaev Type Inequality for Certain Non–Convex Sets},
url = {http://eudml.org/doc/11494},
volume = {26},
year = {2000},
}

TY - JOUR
AU - Ivanov, M.
AU - Zlateva, N.
TI - A Clarke–Ledyaev Type Inequality for Certain Non–Convex Sets
JO - Serdica Mathematical Journal
PY - 2000
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 26
IS - 4
SP - 277
EP - 286
AB - We consider the question whether the assumption of convexity of the set involved in Clarke-Ledyaev inequality can be relaxed. In the case when the point is outside the convex hull of the set we show that Clarke-Ledyaev type inequality holds if and only if there is certain geometrical relation between the point and the set.
LA - eng
KW - Nonsmooth Analysis; Mean Value Theorem; Subdifferential; nonsmooth analysis; mean value theorem; subdifferential; Clarke-Ledyaev inequality
UR - http://eudml.org/doc/11494
ER -