Cone Monotone Functions: Differentiability and Continuity
نویسندگان
چکیده
We provide a porosity based approach to the differentiability and continuity of real valued functions on separable Banach spaces, when the function is monotone with respect to an ordering induced by a convex cone K with non-empty interior. We also show that the set of nowhere K-monotone functions has a σ-porous complement in the space of the continuous functions.
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تاریخ انتشار 2003