summary:A class of convex functions where the sets of subdifferentials behave like the unit ball of the dual space of an Asplund space is found. These functions, which we called Asplund functions also possess some stability properties. We also give a sufficient condition for a function to be an Asplund function in terms of the upper-semicontinuity of the subdifferential map
In this article we consider the study of the -differentiability and -ifferentiability for convex fun...
Two criteria for the robust quasiconvexity of lower semicontinuous functions are established in term...
AbstractWe extend the definition of the limiting Fréchet subdifferential and the limiting Fréchet no...
summary:A class of convex functions where the sets of subdifferentials behave like the unit ball of ...
AbstractWe show that Asplund sets are effective tools to study differentiability of Lipschitz functi...
AbstractThe aim of this paper is to investigate the Frechet differentiability of continuous convex f...
*Supported by the Grants AV ˇCR 101-97-02, 101-90-03, GA ˇCR 201-98-1449, and by the Grant of the Fa...
These notes start with an introduction to the differentiability of convex functions on Banach spaces...
We extend the definition of the limiting Frechet subdifferential and the limiting Frechet normal con...
by Yu Man-hei.Bibliography: leaves 80-81Thesis (M.Phil.)--Chinese University of Hong Kong, 198
We introduce in the context of Asplund spaces, a new class of (φ-regular functions. This new concept...
AbstractLetfbe a continuous convex function on a Banach spaceE. This paper shows that every proper c...
Continuous convex functions have long been known to be generically differentiable on Euclidean space...
A generalisation of strong subdifferentiability and its characterisations are given along with impli...
AbstractIn this paper, an extended real-valued proper lower semicontinuous convex functionfon a Bana...
In this article we consider the study of the -differentiability and -ifferentiability for convex fun...
Two criteria for the robust quasiconvexity of lower semicontinuous functions are established in term...
AbstractWe extend the definition of the limiting Fréchet subdifferential and the limiting Fréchet no...
summary:A class of convex functions where the sets of subdifferentials behave like the unit ball of ...
AbstractWe show that Asplund sets are effective tools to study differentiability of Lipschitz functi...
AbstractThe aim of this paper is to investigate the Frechet differentiability of continuous convex f...
*Supported by the Grants AV ˇCR 101-97-02, 101-90-03, GA ˇCR 201-98-1449, and by the Grant of the Fa...
These notes start with an introduction to the differentiability of convex functions on Banach spaces...
We extend the definition of the limiting Frechet subdifferential and the limiting Frechet normal con...
by Yu Man-hei.Bibliography: leaves 80-81Thesis (M.Phil.)--Chinese University of Hong Kong, 198
We introduce in the context of Asplund spaces, a new class of (φ-regular functions. This new concept...
AbstractLetfbe a continuous convex function on a Banach spaceE. This paper shows that every proper c...
Continuous convex functions have long been known to be generically differentiable on Euclidean space...
A generalisation of strong subdifferentiability and its characterisations are given along with impli...
AbstractIn this paper, an extended real-valued proper lower semicontinuous convex functionfon a Bana...
In this article we consider the study of the -differentiability and -ifferentiability for convex fun...
Two criteria for the robust quasiconvexity of lower semicontinuous functions are established in term...
AbstractWe extend the definition of the limiting Fréchet subdifferential and the limiting Fréchet no...