φ - regular functions in Asplund spaces
نویسندگان
چکیده
We introduce in the context of Asplund spaces, a new class of φ-regular functions. This new concept generalizes the one of prox-regularity introduced by Poliquin & Rockafellar (2000) in R and extended to Banach spaces by Bernard & Thibault (2004). In particular, the class of φ-regular functions includes all lower semicontinuous convex functions, all lower-C functions, and convexly C−composite functions as well. Geometrical and subdifferential characterizations for this new class of functions are investigated.
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