Add to ORKGThe paper shows that L. Thibault's limit sets allow an iff-characterization of local Lipschitzian invertibility in finite dimension. We consider these sets as directional derivatives and extend the calculus in a way that it can be used to clarify whether critical points are strongly stable in C^{1,1}- optimization problems
In this paper we make use of subdifferential calculus and other variational techniques, traced out f...
A stability theorem, based on the concept of directional matric regularity of mappings is described....
This paper sheds new light on regularity of multifunctions through various characterizations of dire...
An abstract Lipschitz stability estimate is proved for a class of inverse problems. It is then appli...
The motivations of nonsmooth analysis are discussed. Appiications are given to the sensitivity of op...
Robust Lipschitzian properties of set-valued mappings and marginal functions play a crucial role in ...
We derive new representations for the generalised Jacobian of a locally Lipschitz map between finite...
The present paper is concerned with optimization problems in which the data are differentiable funct...
AbstractThe implicit-function theorem deals with the solutions of the equation F(x, t) = a for local...
The directional subdifferential of the value function gives an estimate on how much the optimal valu...
This book aims to give an introduction to generalized derivative concepts useful in deriving necessa...
The Clarke derivative of a locally Lipschitz function is defined by f<sup>o</sup>(x;v):=[formula can...
We establish the following converse of the well-known inverse function theorem. Let g:U→V and f:V→U ...
The dissertation concerns a systematic study of full stability in general optimization models includ...
Motivated by an attempt to find a general chain rule formula for differentiating the composition f ◦...
In this paper we make use of subdifferential calculus and other variational techniques, traced out f...
A stability theorem, based on the concept of directional matric regularity of mappings is described....
This paper sheds new light on regularity of multifunctions through various characterizations of dire...
An abstract Lipschitz stability estimate is proved for a class of inverse problems. It is then appli...
The motivations of nonsmooth analysis are discussed. Appiications are given to the sensitivity of op...
Robust Lipschitzian properties of set-valued mappings and marginal functions play a crucial role in ...
We derive new representations for the generalised Jacobian of a locally Lipschitz map between finite...
The present paper is concerned with optimization problems in which the data are differentiable funct...
AbstractThe implicit-function theorem deals with the solutions of the equation F(x, t) = a for local...
The directional subdifferential of the value function gives an estimate on how much the optimal valu...
This book aims to give an introduction to generalized derivative concepts useful in deriving necessa...
The Clarke derivative of a locally Lipschitz function is defined by f<sup>o</sup>(x;v):=[formula can...
We establish the following converse of the well-known inverse function theorem. Let g:U→V and f:V→U ...
The dissertation concerns a systematic study of full stability in general optimization models includ...
Motivated by an attempt to find a general chain rule formula for differentiating the composition f ◦...
In this paper we make use of subdifferential calculus and other variational techniques, traced out f...
A stability theorem, based on the concept of directional matric regularity of mappings is described....
This paper sheds new light on regularity of multifunctions through various characterizations of dire...