Geodesic
Calculation of Subdifferentials for the Difference of Two Convex Functions
Journal of convex analysis, Tome 24 (2017) no. 1, pp. 287-303
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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.
Classification : 49K22, 49K24, 49J22, 49J24
Mots-clés : Set-valued map, tangent cone, convex function, semiregular function, Lipschitz continuity, epiderivatives, subdifferentials 
@article{JCA_2017_24_1_JCA_2017_24_1_a18,
     author = {E. S. Polovinkin},
     title = {Calculation of {Subdifferentials} for the {Difference} of {Two} {Convex} {Functions}},
     journal = {Journal of convex analysis},
     pages = {287--303},
     year = {2017},
     volume = {24},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_1_JCA_2017_24_1_a18/}
}
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E. S. Polovinkin. Calculation of Subdifferentials for the Difference of Two Convex Functions. Journal of convex analysis, Tome 24 (2017) no. 1, pp. 287-303. http://geodesic.mathdoc.fr/item/JCA_2017_24_1_JCA_2017_24_1_a18/