The paper is devoted to the development of a comprehensive calculus for directional limiting normal cones, subdifferentials and coderivatives in finite dimensions. This calculus encompasses the whole range of the standard generalized differential calculus for (non-directional) limiting notions and relies on very weak (non-restrictive) qualification conditions having also a directional character. The derived rules facilitate the application of tools exploiting the directional limiting notions to difficult problems of variational analysis including, for instance, various stability and sensitivity issues. This is illustrated by some selected applications in the last part of the paper
In this paper, we develop a geometric approach to convex subdifferential calculus in finite dimensio...
Dans cette thèse, j’étudie d’abord la théorie des [gamma]-limites. En dehors de quelques propriétés ...
This paper investigates a new general pseudo subregularity model which unifies some important nonlin...
This paper is devoted to the introduction and development of new dual-space constructions of general...
AbstractWe develop an extended generalized differential calculus for normal cones to nonconvex sets,...
This paper provides formulas for calculating of Fr\'{e}chet and limiting normal cones with respect t...
In this paper directionally contextual concepts of variational analysis, based on dual-space constru...
Following the Rockafellar's definition for the subdifferential of a real map we define a vector subd...
The paper deals with a new sharp condition ensuring the Aubin property of solution maps to a class o...
The first part of the paper provides new characterizations of the normal cone to the effective domai...
The first part of the paper provides new characterizations of the normal cone to the effective domai...
In optimization theory the tangent cone and the contingent cone are used to classify the regularity ...
The paper concerns the second-order generalized differentiation theory of variational analysis and n...
Abstract. We extend the definition of the limiting Frechet subdifferential and the limiting.Frechet ...
The directional subdifferential of the value function gives an estimate on how much the optimal valu...
In this paper, we develop a geometric approach to convex subdifferential calculus in finite dimensio...
Dans cette thèse, j’étudie d’abord la théorie des [gamma]-limites. En dehors de quelques propriétés ...
This paper investigates a new general pseudo subregularity model which unifies some important nonlin...
This paper is devoted to the introduction and development of new dual-space constructions of general...
AbstractWe develop an extended generalized differential calculus for normal cones to nonconvex sets,...
This paper provides formulas for calculating of Fr\'{e}chet and limiting normal cones with respect t...
In this paper directionally contextual concepts of variational analysis, based on dual-space constru...
Following the Rockafellar's definition for the subdifferential of a real map we define a vector subd...
The paper deals with a new sharp condition ensuring the Aubin property of solution maps to a class o...
The first part of the paper provides new characterizations of the normal cone to the effective domai...
The first part of the paper provides new characterizations of the normal cone to the effective domai...
In optimization theory the tangent cone and the contingent cone are used to classify the regularity ...
The paper concerns the second-order generalized differentiation theory of variational analysis and n...
Abstract. We extend the definition of the limiting Frechet subdifferential and the limiting.Frechet ...
The directional subdifferential of the value function gives an estimate on how much the optimal valu...
In this paper, we develop a geometric approach to convex subdifferential calculus in finite dimensio...
Dans cette thèse, j’étudie d’abord la théorie des [gamma]-limites. En dehors de quelques propriétés ...
This paper investigates a new general pseudo subregularity model which unifies some important nonlin...