Handbook of Multivalued Analysis: Volume I: Theory

N.S. Papageorgiou Shouchuan Hu

ISBN 10: 0792346823 / ISBN 13: 9780792346821

Editore: Springer, 2007

Riguardo questo articolo

Ancien livre de bibliothèque. Edition 2007. Tome 1. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Very good. Former library book. Edition 2007. Volume 1. Ammareal gives back up to 15% of this item's net price to charity organizations.

Codice articolo E-867-710

Dati bibliografici

• Titolo: Handbook of Multivalued Analysis: Volume I: Theory
• Editore: Springer
• Data di pubblicazione: 2007
• Lingua: Inglese
• ISBN 10: 0792346823
• ISBN 13: 9780792346821
• Rilegatura: Hardcover
• Condizione: Très bon

Descrizione articolo

Riassunto

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.

Contenuti

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.