Add to ORKGOpen mapping theorems are proved for directionally differentiable Lipschitz continuous functions. It is indicated that generalizations to nonsmooth functions that are not directionally differentiable are possible. The results in the paper generalize the open mapping theorems for differentiable mappings, and are different from open mapping theorems for nonsmooth functions in the literature, when these are specialized to directionally differentiable functions.Open mapping theorems; Lipschitz; differentiable mappings; differentiable functions
. We construct, using Zahorski's Theorem, two everywhere differentiable real--valued Lipschitz ...
The conformal invariance of Brownian motion is used to give a short proof of the Open Mapping Theore...
The conformal invariance of Brownian motion is used to give a short proof of the Open Mapping Theore...
AbstractWe establish an open mapping theorem which is independent of continuity and linearity of con...
AbstractIt is known that a locally Lipschitz continuous function ƒ: Rn → Rn which is strongly B-diff...
Abstract. In this work we introduce for extended real valued functions, defined on a Banach space X,...
AbstractThis paper contains general open mapping theorems for families of multifunctions in quasimet...
In this work we introduce for extended real valued functions, defined on a Banach space X, the conc...
In this paper a concept of a generalized directional derivative, which satisfies Leibniz rule is pro...
AbstractA concept of local approximation of a function is introduced. This concept is defined via di...
We introduce the concept of approximator, i.e. a first order local approximation of a mapping, which...
summary:We present some consequences of a deep result of J. Lindenstrauss and D. Preiss on $\Gamma$-...
AbstractThis paper considers Fréchet differentiability almost everywhere in the sense of category of...
This book makes a significant inroad into the unexpectedly difficult question of existence of Frchet...
The aim of this book is to present various facets of the theory and applications of Lipschitz functi...
. We construct, using Zahorski's Theorem, two everywhere differentiable real--valued Lipschitz ...
The conformal invariance of Brownian motion is used to give a short proof of the Open Mapping Theore...
The conformal invariance of Brownian motion is used to give a short proof of the Open Mapping Theore...
AbstractWe establish an open mapping theorem which is independent of continuity and linearity of con...
AbstractIt is known that a locally Lipschitz continuous function ƒ: Rn → Rn which is strongly B-diff...
Abstract. In this work we introduce for extended real valued functions, defined on a Banach space X,...
AbstractThis paper contains general open mapping theorems for families of multifunctions in quasimet...
In this work we introduce for extended real valued functions, defined on a Banach space X, the conc...
In this paper a concept of a generalized directional derivative, which satisfies Leibniz rule is pro...
AbstractA concept of local approximation of a function is introduced. This concept is defined via di...
We introduce the concept of approximator, i.e. a first order local approximation of a mapping, which...
summary:We present some consequences of a deep result of J. Lindenstrauss and D. Preiss on $\Gamma$-...
AbstractThis paper considers Fréchet differentiability almost everywhere in the sense of category of...
This book makes a significant inroad into the unexpectedly difficult question of existence of Frchet...
The aim of this book is to present various facets of the theory and applications of Lipschitz functi...
. We construct, using Zahorski's Theorem, two everywhere differentiable real--valued Lipschitz ...
The conformal invariance of Brownian motion is used to give a short proof of the Open Mapping Theore...
The conformal invariance of Brownian motion is used to give a short proof of the Open Mapping Theore...