Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Journal of Convex Analysis 24 (2017), No. 1, 287--303
Copyright Heldermann Verlag 2017

Calculation of Subdifferentials for the Difference of Two Convex Functions

Evgeny Sergeevich Polovinkin
Dept. of Higher Mathematics, Moscow Institute of Physics and Technology, Institutskii pereulok 9, Dolgoprudny -- Moscow region, Russia 141700

It is shown that for some classes of functions all epiderivatives and subdifferentials of F.H.Clarke type and P.Michel--J.-P.Penot type and others coincide. Several rules of calculation of subdifferentials for the difference of two convex functions are obtained. Some examples are considered.

Keywords: Set-valued map, tangent cone, convex function, semiregular function, Lipschitz continuity, epiderivatives, subdifferentials.

MSC: 49K22, 49K24; 49J22, 49J24

[ Fulltext-pdf  (470  KB)] for subscribers only.