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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.
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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.
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Hardcover. Condizione: new. Hardcover. This is the first of a two-volume exposition on the theory and applications of set-valued maps. Multivalued analysis is a mixture of many different fields of mathematics, such as topology, measure theory, nonlinear functional analysis and applied mathematics. These two volumes provide a comprehensive survey of the general theory and applications of set-valued analysis. The existing books on the subject deal with either one particular domain of the subject or present primarily the finite dimensional aspects of the theory. In contrast, this volume aims to give a complete picture of the subject, including recent developments. Although the presentation of the subject assumes some knowledge from various areas of mathematical analysis, the authors have made every effort, including the addition of an appendix, to keep the work self-contained. This book serves as a reference for graduate students and researchers interested in multivalued analysis. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780792346821
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Handbook of Multivalued Analysis
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Condizione: New. Multivalued analysis is a mixture of many different fields of mathematics, such as topology, measure theory, nonlinear functional analysis and applied mathematics. This is the first of a two-volume exposition on the theory and applications of set-valued maps. It provides an overview of the subject. Series: Mathematics and its Applications. Num Pages: 968 pages, biography. BIC Classification: PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 61. Weight in Grams: 1682. . 1997. Hardback. . . . . Codice articolo V9780792346821
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Handbook of Multivalued Analysis : Volume I: Theory
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Buch. Condizione: Neu. Neuware - This is the first of a two-volume exposition on the theory and applications of set-valued maps. Multivalued analysis is a remarkable mixture of many different fields of mathematics, such as topology, measure theory, nonlinear functional analysis and applied mathematics. This two-volume work provides a comprehensive survey of the general theory and applications of set-valued analysis. The existing books on the subject deal with either one particular domain of the subject or present primarily the finite dimensional aspects of the theory. In contrast this volume gives a complete picture of the subject, including important new developments that occurred in recent years and a detailed bibliography. Although the presentation of the subject assumes some knowledge from various areas of mathematical analysis, the authors have made every effort, including the addition of an appendix, to keep the work self-contained. Audience: The work is an essential reference for graduate students and researchers interested in multivalued analysis. Codice articolo 9780792346821
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