Showing papers on "Gâteaux derivative published in 1987"
TL;DR: In this paper, the modified generalized subdifferential has been used to derive the Gâteaux differentiability of a distance function on a Banach space with rotund dual.
79 citations
TL;DR: In this article, it was shown that if X is a separable Banach space, then every continuous, convex, Gâteaux differentiable function on X is Frechet differentiable on a dense set if and only if X* has the weak*-Convex Point of Continuity Property (C*PCP).
Abstract: We show that ifX is a separable Banach space, then every continuous, convex, Gâteaux differentiable function onX is Frechet differentiable on a dense set if and only ifX* has theweak*-Convex Point of Continuity Property (C*PCP).
12 citations
TL;DR: In this article, the existence of a minimum for a coercive, Isc differentiable function restricted to a finite intersection of half spaces under a structural assumption on the Gâteaux derivative is shown.
6 citations