Abstract
ABSTRACTWe prove that a strongly cone paraconvex mapping defined on a normed space X and taking values in a reflexive separable Banach space Y is Gâteaux differentiable on a dense subset of X. We also discuss Fréchet differentiability in the case when X is an Asplund space. Our results are generalizations of Rolewicz's theorems (Theorem 3.1) from Rolewicz [Differentiability of strongly paraconvex vector-valued functions. Funct Approx. 2011;2:273–277].
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