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differentiability; delta-convex functions

References:

[1] Hiriart-Urruty J.-B.: **Generalized differentiability, duality and optimization for problem dealing with difference of convex functions**. Lecture Notes in Econom. and Math. Systems 256 J. Ponstein, Ed., Springer, Berlin, 1985, pp. 37-70. MR 0873269

[2] Kopecká E., Malý J.: **Remarks on delta-convex functions**. Comment. Math. Univ. Carolinae 31.3 (1990), 501-510. MR 1078484

[3] Penot J.-P., Bougeard M.L.: **Approximation and decomposition properties of some classes of locally d.c. functions**. Math. Programming 41 (1988), 195-227. MR 0945661 | Zbl 0666.49005

[4] Rockafellar R.T.: **Convex Analysis**. Princeton University Press, Princeton (1970). MR 0274683 | Zbl 0193.18401

[5] Shapiro A.: **On functions representable as a difference of two convex functions in inequality constrained optimization**. Research report University of South Africa, 1983.

[6] Veselý L., Zajíček L.: **Delta-convex mappings between Banach spaces and applications**. Dissertationes Math. 289 (1989), 1-52. MR 1016045