Subdifferentials for the difference of two convex functions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 19 (2014) no. 5, pp. 167-184
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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.
@article{FPM_2014_19_5_a7,
author = {E. S. Polovinkin},
title = {Subdifferentials for the difference of two convex functions},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {167--184},
publisher = {mathdoc},
volume = {19},
number = {5},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2014_19_5_a7/}
}
E. S. Polovinkin. Subdifferentials for the difference of two convex functions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 19 (2014) no. 5, pp. 167-184. http://geodesic.mathdoc.fr/item/FPM_2014_19_5_a7/