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A SECOND-ORDER EXTENSION OF LJUSTERNIK\u27S THEOREM WITHOUT TWICE FRECHET DIFFERENTIABILITY CONDITION

open access: yes, 1992
For a mapping f from a Banach space to another space, a second-order extension of Ljusternik\u27s theorem is given under certain assumptions weaker than those of previous literatures. Twice Frechet differentiability of f is not assumed.
Furukawa, Nagata, 古川, 長太
core  

Generic Frechet differentiability of convex functions on non-Asplund spaces

open access: yes, 1997
Let f be a continuous convex function on a Banach space E. This paper shows that every proper convex function g on E with g less than or equal to f is generically Frechet differentiable if and only if the image of the subdifferential map partial ...
Lee, E. S.   +3 more
core  

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