Access the full text.
Sign up today, get DeepDyve free for 14 days.
A. Dontchev, R. Rockafellar (1996)
Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex SetsSIAM J. Optim., 6
A. Ioffe (1987)
On the local surjection propertyNonlinear Analysis-theory Methods & Applications, 11
A. Ioffe (2000)
Metric regularity and subdifferential calculusRussian Mathematical Surveys, 55
R. Rockafellar (1967)
Monotone processes of convex and concave type
A. Ioffe (1986)
Approximate subdifferentials and applications IIMathematika, 33
I. Porteous (1981)
Topological Geometry: THE INVERSE FUNCTION THEOREM
B. Mordukhovich (1997)
Coderivatives of set-valued mappings: Calculus and applicationsNonlinear Analysis-theory Methods & Applications, 30
F. Clarke (1976)
The Generalized Problem of BolzaSiam Journal on Control and Optimization, 14
A. Ioffe (1984)
Approximate subdifferentials and applications. I. The finite-dimensional theoryTransactions of the American Mathematical Society, 281
F. Clarke (1991)
Necessary conditions for nonsmooth problems in-optimal control and the calculus of variations
A. Ioffe (1981)
Nonsmooth analysis: differential calculus of nondifferentiable mappingsTransactions of the American Mathematical Society, 266
A. Dontchev, A. Lewis, R. Rockafellar (2002)
The radius of metric regularityTransactions of the American Mathematical Society, 355
H. Frankowska (1987)
An open mapping principle for set-valued mapsJournal of Mathematical Analysis and Applications, 127
J. Aubin (1980)
Contingent Derivatives of Set-Valued Maps and Existence of Solutions to Nonlinear Inclusions and Differential Inclusions.
F. Clarke (1975)
Admissible relaxation in variational and control problemsJournal of Mathematical Analysis and Applications, 51
F. Clarke (1983)
Optimization And Nonsmooth Analysis
P. Saint-Pierre (1994)
Approximation of the viability kernelApplied Mathematics and Optimization, 29
A. Dontchev, R. Rockafellar (2004)
Regularity and Conditioning of Solution Mappings in Variational AnalysisSet-Valued Analysis, 12
S. Robinson (1976)
Regularity and Stability for Convex Multivalued FunctionsMath. Oper. Res., 1
The purpose of this paper is to characterize by means of viability tools the pseudo-lipschitzianity property of a set-valued map F in a neighborhood of a point of its graph in terms of derivatives of this set-valued map F in a neighborhood of a point of its graph, instead of using the transposes of the derivatives. On the way, we relate these properties to the calmness index of a set-valued map, an extensions of Clarke’s calmness of a function, as well as Doyen’s Lipschitz kernel of a set-valued map, which is the largest Lipschitz submap.
Journal of Evolution Equations – Springer Journals
Published: Aug 1, 2006
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.