IN ASPLUND SPACES, APPROXIMATELY CONVEX FUNCTIONS AND REGULAR FUNCTIONS ARE GENERICALLY DIFFERENTIABLE
نویسندگان
چکیده
منابع مشابه
φ - regular functions in Asplund spaces
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 f...
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2008
ISSN: 1027-5487
DOI: 10.11650/twjm/1500405035