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- W1981544150 abstract "This paper considers Fréchet differentiability almost everywhere in the sense of category of regular, locally Lipschitzian real-valued functions defined on open subsets of a Banach space. It is first shown that, for separable Banach spaces, Clarke's generalized gradient of such a function is a minimal, convex- and compact-valued, upper semicontinuous multifunction. Using a theorem of Christensen and Kenderov it is then shown that, for separable Asplund spaces, such a function is Fréchet differentiable on a dense Gδ subset of its domain." @default.
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- W1981544150 date "1991-07-01" @default.
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- W1981544150 title "Fréchet differentiability of regular locally Lipschitzian functions" @default.
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- W1981544150 doi "https://doi.org/10.1016/0022-247x(91)90226-p" @default.
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