Articles liés à Generalized Directional Derivatives: Theory and Examples

Generalized Directional Derivatives: Theory and Examples - Couverture souple

Pastor, Karel; Bedna?ík, Du?an

 
9783838380254: Generalized Directional Derivatives: Theory and Examples
Couverture souple
ISBN 10 : 3838380258 ISBN 13 : 9783838380254
Editeur : LAP LAMBERT Academic Publishing, 2010

Synopsis

Over the last fifty years, generalized second-order derivatives have been studied because it is important to state optimization conditions for nonsmooth functions. We recall e.g. the concept of convex subdifferential, the Clarke gradient for locally Lipschitz function or the co-derivatives studied by Boris Mordukhovich. In this book it was introduced the class of l-stable functions which is wider than the class of functions with locally Lipschitz gradient and there were stated some second-order optimization conditions. The characterization of convexity and strict convexity for locally Licpschitz functions is also provided. Moreover, a new characterization of minimal cusco is given.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Over the last fifty years, generalized second-order derivatives have been studied because it is important to state optimization conditions for nonsmooth functions. We recall e.g. the concept of convex subdifferential, the Clarke gradient for locally Lipschitz function or the co-derivatives studied by Boris Mordukhovich. In this book it was introduced the class of l-stable functions which is wider than the class of functions with locally Lipschitz gradient and there were stated some second-order optimization conditions. The characterization of convexity and strict convexity for locally Licpschitz functions is also provided. Moreover, a new characterization of minimal cusco is given.

Biographie de l'auteur

Karel Pastor; Ph.D.: Studied Mathematical Analysis at Palacký University in Olomouc. Lecturer at Palacký University in Olomouc. Du?an Bedna?ík; Ph.D.: Studied Mathematical Analysis at Palacký University in Olomouc. Lecturer at University of Hradec Králové. Both authors interested in Nonlinear Functional Analysis.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2010
Langue
anglais
ISBN 10 
3838380258
ISBN 13 
9783838380254
Reliure
Broché
Nombre de pages
72
Coordonnées du fabricant
non disponible
Personne responsable
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