Email this article Subdifferentials for the Difference of Two Convex Functions
- Authors: Polovinkin E.S.1
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Affiliations:
- Department of Higher Mathematics, Moscow Institute of Physics and Technology
- Issue: Vol 218, No 5 (2016)
- Pages: 664-677
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238277
- DOI: https://doi.org/10.1007/s10958-016-3049-x
- ID: 238277
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Abstract
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.
About the authors
E. S. Polovinkin
Department of Higher Mathematics, Moscow Institute of Physics and Technology
Author for correspondence.
Email: polovinkin@mail.mipt.ru
Russian Federation, Institutskii pereulok 9, Dolgoprudny, Moscow region, 141700
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