University Sétif 1 FERHAT ABBAS Faculty of Sciences
Résultat de la recherche
1 résultat(s) recherche sur le mot-clé 'Point fixe, Théorème du Analyse multivariée Opérateurs monotones Analyse fonctionnelle'
Ajouter le résultat dans votre panier Affiner la recherche Générer le flux rss de la recherche
Partager le résultat de cette recherche
Handbook of multivalued analysis V.1:Theory / HU,Shouchuan
Titre : Handbook of multivalued analysis V.1:Theory Type de document : texte imprimé Auteurs : HU,Shouchuan ; PAPAGEORGIOU,Nikolas S. Editeur : Dordrecht : kluwer academic publishers Année de publication : 1997 Collection : Mathematic and Its applications Importance : 1 vol(964 p.) Format : 24 cm ISBN/ISSN/EAN : 978-0-7923-4682-1 Note générale : Index p.960-964 Catégories : Mathématique Mots-clés : Point fixe, Théorème du
Analyse multivariée
Opérateurs monotones
Analyse fonctionnelleIndex. décimale : 515-Analyse mathèmatique Résumé :
the many different applications that this theory provides. We mention that the existing literature on this subject includes the books of J. P. Aubin, J. P. Aubin-A. Cellina, J. P. Aubin-H. Frankowska, C. Castaing-M. Valadier, K. Deimling, M. Kisielewicz and E. Klein-A. Thompson. However, these books either deal with one particular domain of the subject or present primarily the finite dimensional aspects of the theory. In this volume, we have tried very hard to give a much more complete picture of the subject, to include some important new developments that occurred in recent years and a detailed bibliography. Although the presentation of the subject requires some knowledge in various areas of mathematical analysis, we have deliberately made this book more or less self-contained, with the help of an extended appendix in which we have gathered several basic notions and results from topology, measure theory and nonlinear functional analysis. In this volume we present the theory of the subject, while in the second volume we will discuss mainly applications. This volume is divided into eight chapters. The flow of chapters follows more or less the historical development of the subject. We start with the topological theory, followed by the measurability study of multifunctions. Chapter 3 deals with the theory of monotone and accretive operators. The closely related topics of the degree theory and fixed points of multifunctions are presented in Chapters 4 and 5, respectively.Note de contenu :
Sommaire
Volume A: Theory.
1. Continuity of Multifunctions.
2. Measurable Multifunctions.
3. Monotone and Accretive Operators.
4. Degree Theory for Multifunctions.
5. Fixed Points.
6. Concave Multifunctions and Tangent Cones.
7. Convergence of Multifunctions.
8. Set-Valued Random Processes and Multimeasures.
Appendix A.1. Topology.
A.2. Measure Theory.
A.3. Functional Analysis.
References.
Symbols.
Index.Côte titre : Fs/6740 Handbook of multivalued analysis V.1:Theory [texte imprimé] / HU,Shouchuan ; PAPAGEORGIOU,Nikolas S. . - Dordrecht : kluwer academic publishers, 1997 . - 1 vol(964 p.) ; 24 cm. - (Mathematic and Its applications) .
ISBN : 978-0-7923-4682-1
Index p.960-964
Catégories : Mathématique Mots-clés : Point fixe, Théorème du
Analyse multivariée
Opérateurs monotones
Analyse fonctionnelleIndex. décimale : 515-Analyse mathèmatique Résumé :
the many different applications that this theory provides. We mention that the existing literature on this subject includes the books of J. P. Aubin, J. P. Aubin-A. Cellina, J. P. Aubin-H. Frankowska, C. Castaing-M. Valadier, K. Deimling, M. Kisielewicz and E. Klein-A. Thompson. However, these books either deal with one particular domain of the subject or present primarily the finite dimensional aspects of the theory. In this volume, we have tried very hard to give a much more complete picture of the subject, to include some important new developments that occurred in recent years and a detailed bibliography. Although the presentation of the subject requires some knowledge in various areas of mathematical analysis, we have deliberately made this book more or less self-contained, with the help of an extended appendix in which we have gathered several basic notions and results from topology, measure theory and nonlinear functional analysis. In this volume we present the theory of the subject, while in the second volume we will discuss mainly applications. This volume is divided into eight chapters. The flow of chapters follows more or less the historical development of the subject. We start with the topological theory, followed by the measurability study of multifunctions. Chapter 3 deals with the theory of monotone and accretive operators. The closely related topics of the degree theory and fixed points of multifunctions are presented in Chapters 4 and 5, respectively.Note de contenu :
Sommaire
Volume A: Theory.
1. Continuity of Multifunctions.
2. Measurable Multifunctions.
3. Monotone and Accretive Operators.
4. Degree Theory for Multifunctions.
5. Fixed Points.
6. Concave Multifunctions and Tangent Cones.
7. Convergence of Multifunctions.
8. Set-Valued Random Processes and Multimeasures.
Appendix A.1. Topology.
A.2. Measure Theory.
A.3. Functional Analysis.
References.
Symbols.
Index.Côte titre : Fs/6740 Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité Fs/6740 Fs/6740 livre Bibliothéque des sciences Anglais Disponible
Disponible