文档介绍：Nonsmooth Equations in Optimization
Nonconvex Optimization and Its Applications
Volume 60
Managing Editor:
Panos Pardalos
Advisory Board:
. Birge
Northwestern University, .
Ding-Zhu Du
University of Minnesota, .
C. A. Floudas
Princeton University, .
J. Mockus
Lithuanian Academy of Sciences, Lithuania
H. D. Sherali
Virginia Polytechnic Institute and State University, .
G. Stavroulakis
Technical University Braunschweig, Germany
The titles published in this series are listed at the end of this volume.
Nonsmooth Equations
in Optimization
Regularity, Calculus, Methods and Applications
by
Diethard Klatte
Institute for Operations Research and Mathematical Methods of Economics,
University of Zurich, Switzerland
and
Bernd Kummer
Institute of Mathematics, Faculty of Mathematics and Natural Sciences II,
Humboldt University Berlin, Germany
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eBook ISBN: 0-306-47616-9
Print ISBN: 1-4020-0550-4
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Contents
Introduction xi
List of Results xix
Basic Notation xxv
1 Basic Concepts 1
Formal Settings 1
Multifunctions and Derivatives 2
Particular Locally Lipschitz Functions and Related Definitions 4
Generalized Jacobians of Locally Lipschitz Functions 4
Pseudo-Smoothness and D°f 4
Piecewise Functions 5
NCP Functions 5
Definitions of Regularity 6
Definitions of Lipschitz Properties 6
Regularity Definitions 7
Functions and Multifunctions 9
Related Definitions 10
Types of Semicontin