Nonsmooth Analysis Mean Value Theorem Subdifferential
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 26, No 4, (2000), 277p-286p
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.