Subdifferentials for the Difference of Two Convex Functions


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Abstract

It is shown that for some classes of functions all epiderivatives and subdifferentials of the Clarke, Michel–Penot, and other types coincide. Several rules of calculation of epiderivatives and subdifferentials for the difference of two convex functions are obtained. Some examples are considered.

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E. Polovinkin

Department of Higher Mathematics, Moscow Institute of Physics and Technology

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Email: polovinkin@mail.mipt.ru
俄罗斯联邦, Institutskii pereulok 9, Dolgoprudny, Moscow region, 141700

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