We study regularity properties of the subdifferential of proper lower semicontinuous convex functions in Hilbert spaces. More precisely, we investigate the metric regularity and subregularity, the strong regularity and subregularity of such a subdifferential. We characterize each of these properties in terms of a growth condition involving the function.Grant BES-2003-0188 from FPI Program of MEC (Spain); Contract EA3591 (France)
Artículo de publicación ISIWe relate the argmin sets of a given function, not necessarily convex or ...
For finite-valued convex functions f defined on the n-dimensional Euclidean space, we are interested...
Each lower semi-continuous proper convex function / on a Banach space E defines a certain multivalue...
peer reviewedWe study regularity properties of the subdifferential of proper lower semicontinuous co...
In this talk we study some metric regularity properties of the subdifferential of a proper lower sem...
In [2] we characterized in terms of a quadratic growth condition various metric regularity propertie...
We study regularity properties enjoyed by a class of real-valued upper semicontinuous functions f:R^...
Abstract. We study regularity properties enjoyed by a class of real-valued upper semicon-tinuous fun...
Abstract. We prove that uniform second order growth, tilt stability, and strong metric regularity of...
We show, in Hilbert space setting, that any two convex proper lower semicontinuous functions bounded...
A generalisation of strong subdifferentiability and its characterisations are given along with impli...
Although the property of strong metric subregularity of set-valued mappings has been present in the ...
1. Introduction and preliminaries. Lasry-Lions regularizations (see [ 5]) are useful tools for appro...
In this note we give examples of convex functions whose subdifferentials have unpleasant properties....
For finite-valued convex functions f defined on the n-dimensional Euclidean space, we are interested...
Artículo de publicación ISIWe relate the argmin sets of a given function, not necessarily convex or ...
For finite-valued convex functions f defined on the n-dimensional Euclidean space, we are interested...
Each lower semi-continuous proper convex function / on a Banach space E defines a certain multivalue...
peer reviewedWe study regularity properties of the subdifferential of proper lower semicontinuous co...
In this talk we study some metric regularity properties of the subdifferential of a proper lower sem...
In [2] we characterized in terms of a quadratic growth condition various metric regularity propertie...
We study regularity properties enjoyed by a class of real-valued upper semicontinuous functions f:R^...
Abstract. We study regularity properties enjoyed by a class of real-valued upper semicon-tinuous fun...
Abstract. We prove that uniform second order growth, tilt stability, and strong metric regularity of...
We show, in Hilbert space setting, that any two convex proper lower semicontinuous functions bounded...
A generalisation of strong subdifferentiability and its characterisations are given along with impli...
Although the property of strong metric subregularity of set-valued mappings has been present in the ...
1. Introduction and preliminaries. Lasry-Lions regularizations (see [ 5]) are useful tools for appro...
In this note we give examples of convex functions whose subdifferentials have unpleasant properties....
For finite-valued convex functions f defined on the n-dimensional Euclidean space, we are interested...
Artículo de publicación ISIWe relate the argmin sets of a given function, not necessarily convex or ...
For finite-valued convex functions f defined on the n-dimensional Euclidean space, we are interested...
Each lower semi-continuous proper convex function / on a Banach space E defines a certain multivalue...