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Multivalued Analysis and Nonlinear Programming Problems with Perturbations: 66 (Nonconvex Optimization and Its Applications) - Softcover
Inhaltsangabe
This book is concerned with topological and differential properties of multivalued mappings and marginal functions. Beside this applica tions to the sensitivity analysis of optimization problems, in particular nonlinear programming problems with perturbations, are studied. The elaborated methods are primarily obtained by theories and concepts of two former Soviet Union researchers, Demyanov and Rubinov. Con sequently, a significant part of the presented results have never been published in English before. Based on the use of directional derivatives as a key tool in studying nonsmooth functions and multifunctions, these results can be considered as a further development of quasidifferential calculus created by Demyanov and Rubinov. In contrast to other research in this field, especially the recent publica tion by Bonnans and Shapiro, this book analyses properties of marginal functions associated with optimization problems under quite general con straints defined by means of multivalued mappings. A unified approach to directional differentiability of functions and multifunctions forms the base of the volume.
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"The aim of this book is to study infinite dimensional spaces, multivalued mappings and the associated marginal functions ... . The material is presented in a clear, rigorous manner. Besides the bibliographical comments ... references to the literature are given within the text. ... the unified approach to the directional differentiability of multifunctions and their associated marginal functions is a remarkable feature of the book ... . the book is a useful contribution to nonsmooth analysis and optimization." (Winfried Schirotzek, Zentralblatt MATH, Vol. 1061 (11), 2005)
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This book is concerned with topological and differential properties of multivalued mappings and marginal functions. Beside this applica tions to the sensitivity analysis of optimization problems, in particular nonlinear programming problems with perturbations, are studied. The elaborated methods are primarily obtained by theories and concepts of two former Soviet Union researchers, Demyanov and Rubinov. Con sequently, a significant part of the presented results have never been published in English before. Based on the use of directional derivatives as a key tool in studying nonsmooth functions and multifunctions, these results can be considered as a further development of quasidifferential calculus created by Demyanov and Rubinov. In contrast to other research in this field, especially the recent publica tion by Bonnans and Shapiro, this book analyses properties of marginal functions associated with optimization problems under quite general con straints defined by means of multivalued mappings. A unified approach to directional differentiability of functions and multifunctions forms the base of the volume.
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Multivalued Analysis and Nonlinear Programming Problems with Perturbations (Nonconvex Optimization and Its Applications)
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Multivalued Analysis and Nonlinear Programming Problems With Perturbations
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Multivalued Analysis and Nonlinear Programming Problems with Perturbations (Nonconvex Optimization and Its Applications)
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Multivalued Analysis and Nonlinear Programming Problems with Perturbations (Paperback)
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Springer-Verlag New York Inc., New York, NY, 2010
ISBN 10: 1441952365
ISBN 13: 9781441952363
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Paperback. Zustand: new. Paperback. The book presents a treatment of topological and differential properties of multivalued mappings and marginal functions. In addition, applications to sensitivity analysis of nonlinear programming problems under perturbations are studied. Properties of marginal functions associated with optimization problems are analyzed under quite general constraints defined by means of multivalued mappings. A unified approach to directional differentiability of functions and multifunctions forms the base of the volume. Nonlinear programming problems involving quasidifferentiable functions are considered as well. A significant part of the results are based on theories and concepts of two former Soviet Union researchers, Demyanov and Rubinov, and have never been published in English before. It contains all the necessary information from multivalued analysis and does not require special knowledge, but assumes basic knowledge of calculus at an undergraduate level. This book is concerned with topological and differential properties of multivalued mappings and marginal functions. Beside this applicaA tions to the sensitivity analysis of optimization problems, in particular nonlinear programming problems with perturbations, are studied. The elaborated methods are primarily obtained by theories and concepts of two former Soviet Union researchers, Demyanov and Rubinov. ConA sequently, a significant part of the presented results have never been published in English before. Based on the use of directional derivatives as a key tool in studying nonsmooth functions and multifunctions, these results can be considered as a further development of quasidifferential calculus created by Demyanov and Rubinov. In contrast to other research in this field, especially the recent publicaA tion by Bonnans and Shapiro, this book analyses properties of marginal functions associated with optimization problems under quite general conA straints defined by means of multivalued mappings. A unified approach to directional differentiability of functions and multifunctions forms the base of the vol Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9781441952363
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Multivalued Analysis and Nonlinear Programming Problems With Perturbations
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Multivalued Analysis and Nonlinear Programming Problems with Perturbations (Nonconvex Optimization and Its Applications)
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Multivalued Analysis and Nonlinear Programming Problems with Perturbations
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is concerned with topological and differential properties of multivalued mappings and marginal functions. Beside this applica tions to the sensitivity analysis of optimization problems, in particular nonlinear programming problems with perturbations, are studied. The elaborated methods are primarily obtained by theories and concepts of two former Soviet Union researchers, Demyanov and Rubinov. Con sequently, a significant part of the presented results have never been published in English before. Based on the use of directional derivatives as a key tool in studying nonsmooth functions and multifunctions, these results can be considered as a further development of quasidifferential calculus created by Demyanov and Rubinov. In contrast to other research in this field, especially the recent publica tion by Bonnans and Shapiro, this book analyses properties of marginal functions associated with optimization problems under quite general con straints defined by means of multivalued mappings. A unified approach to directional differentiability of functions and multifunctions forms the base of the volume. 224 pp. Englisch. Bestandsnummer des Verkäufers 9781441952363
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Multivalued Analysis and Nonlinear Programming Problems with Perturbations
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Multivalued Analysis and Nonlinear Programming Problems with Perturbations
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Preface. 1. Basic Notation. 2. Basic Problems of Multivalued Analysis. 3. Properties of Multivalued Mappings. 4. Subdifferentials of Marginal Functions. 5. Derivatives of Marginal Functions. 6. Sensitivity Analysis. Bibliographical Comments. References. Ind. Bestandsnummer des Verkäufers 4175562
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Multivalued Analysis and Nonlinear Programming Problems with Perturbations
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Springer-Verlag New York Inc., 2010
ISBN 10: 1441952365
ISBN 13: 9781441952363
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Paperback / softback. Zustand: New. New copy - Usually dispatched within 7-11 working days. 375. Bestandsnummer des Verkäufers B9781441952363
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