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- W2952038794 abstract "We prove that for every function $f:Xto Y$, where $X$ is a separable Banach space and $Y$ is a Banach space with RNP, there exists a set $AintildemcA$ such that $f$ is Gateaux differentiable at all $xin S(f)setminus A$, where $S(f)$ is the set of points where $f$ is pointwise-Lipschitz. This improves a result of Bongiorno. As a corollary, we obtain that every $K$-monotone function on a separable Banach space is Hadamard differentiable outside of a set belonging to $tildemcC$; this improves a result due to Borwein and Wang. Another corollary is that if $X$ is Asplund, $f:XtoR$ cone monotone, $g:XtoR$ continuous convex, then there exists a point in $X$, where $f$ is Hadamard differentiable and $g$ is Frechet differentiable." @default.
- W2952038794 created "2019-06-27" @default.
- W2952038794 creator A5050545517 @default.
- W2952038794 date "2005-11-22" @default.
- W2952038794 modified "2023-09-27" @default.
- W2952038794 title "On Gateaux differentiability of pointwise Lipschitz mappings" @default.
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