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

Serdica Mathematical Journal (2000)

- Volume: 26, Issue: 4, page 277-286
- ISSN: 1310-6600

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topIvanov, 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 -

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