Titre : | Variational analysis | Type de document : | texte imprimé | Auteurs : | R. Tyrrel ROCKAFELLAR, Auteur ; Roger J-B. WETS, Auteur | Editeur : | Berlin : Springer-Verlag | Année de publication : | cop. 2004 | Collection : | Grundlehren der mathematischen wissenschaften, ISSN 0072-7830 num. 317 | Importance : | XIII-734 p. | ISBN/ISSN/EAN : | 978-3-540-62772-2 | Langues : | Anglais (eng) | Catégories : | 47H05 49J40 49J45 49J52 49K40
| Mots-clés : | analyse variationnelle | Résumé : | From its origins in the minimization of integral functionals, the notion of 'variations' has evolved greatly in connection with applications in optimization, equilibrium, and control. It refers not only to constrained movement away from a point, but also to modes of perturbation and approximation that are best describable by 'set convergence', variational convergence of functions' and the like. This book develops a unified framework and, in finite dimension, provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, maximal monotone mappings, second-order subderivatives, measurable selections and normal integrands. | Note de contenu : | index, références | En ligne : | http://www.springerlink.com/content/978-3-642-02431-3#section=110746&page=1&locu [...] |
Variational analysis [texte imprimé] / R. Tyrrel ROCKAFELLAR, Auteur ; Roger J-B. WETS, Auteur . - Springer-Verlag, cop. 2004 . - XIII-734 p.. - ( Grundlehren der mathematischen wissenschaften, ISSN 0072-7830; 317) . ISBN : 978-3-540-62772-2 Langues : Anglais ( eng) Catégories : | 47H05 49J40 49J45 49J52 49K40
| Mots-clés : | analyse variationnelle | Résumé : | From its origins in the minimization of integral functionals, the notion of 'variations' has evolved greatly in connection with applications in optimization, equilibrium, and control. It refers not only to constrained movement away from a point, but also to modes of perturbation and approximation that are best describable by 'set convergence', variational convergence of functions' and the like. This book develops a unified framework and, in finite dimension, provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, maximal monotone mappings, second-order subderivatives, measurable selections and normal integrands. | Note de contenu : | index, références | En ligne : | http://www.springerlink.com/content/978-3-642-02431-3#section=110746&page=1&locu [...] |
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