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delta-convex mappings; strict differentiability; normed linear spaces

References:

[1] Alexandrov A.D.: **On surfaces represented as the difference of convex functions**. Izvest. Akad. Nauk. Kaz. SSR 60, Ser. Math. Mekh. 3 (1949), 3-20 (in Russian). MR 0048059

[2] Alexandrov A.D.: **Surfaces represented by the differences of convex functions**. Doklady Akad. Nauk SSSR (N.S.) 72 (1950), 613-616 (in Russian). MR 0038092

[3] Cepedello Boiso M.: **Approximation of Lipschitz functions by $\Delta$-convex functions in Banach spaces**. Israel J. Math. 106 (1998), 269-284. MR 1656905 | Zbl 0920.46010

[4] Cepedello Boiso M.: **On regularization in superreflexive Banach spaces by infimal convolution formulas**. Studia Math. 129 (1998), 3 265-284. MR 1609659 | Zbl 0918.46014

[5] Hartman P.: **On functions representable as a difference of convex functions**. Pacific J. Math. 9 (1959), 707-713. MR 0110773 | Zbl 0093.06401

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

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