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Optimization with Multivalued Mappings, Stephan Dempe; Vyacheslav Kalashnikov


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Автор: Stephan Dempe; Vyacheslav Kalashnikov
Название:  Optimization with Multivalued Mappings
ISBN: 9781441941671
Издательство: Springer
Классификация: ISBN-10: 1441941673
Обложка/Формат: Paperback
Страницы: 276
Вес: 0.39 кг.
Дата издания: 29.11.2010
Серия: Springer Optimization and Its Applications
Язык: English
Размер: 229 x 152 x 16
Основная тема: Mathematics
Подзаголовок: Theory, Applications and Algorithms
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

In the field of nondifferentiable nonconvex optimization, one of the most intensely investigated areas is that of optimization problems involving multivalued mappings in constraints or as the objective function. This book focuses on the tremendous development in the field that has taken place since the publication of the most recent volumes on the subject. The new topics studied include the formulation of optimality conditions using different kinds of generalized derivatives for set-valued mappings (such as, for example, the coderivative of Mordukhovich), the opening of new applications (e.g., the calibration of water supply systems), or the elaboration of new solution algorithms (e.g., smoothing methods).

The book is divided into three parts. The focus in the first part is on bilevel programming. The chapters in the second part contain investigations of mathematical programs with equilibrium constraints. The third part is on multivalued set-valued optimization. The chapters were written by outstanding experts in the areas of bilevel programming, mathematical programs with equilibrium (or complementarity) constraints (MPEC), and set-valued optimization problems.




Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications

Автор: Afif Ben Amar; Donal O`Regan
Название: Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications
ISBN: 3319319477 ISBN-13(EAN): 9783319319476
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Basic Concepts.- Nonlinear Eigenvalue Problems in Dunford-Pettis Spaces.- Fixed Point Theory in Locally Convex Spaces.- Fixed Points for Maps with Weakly Sequentially-Closed.- Fixed Point Theory in Banach Algebras.- Fixed Point Theory for (ws)-Compact Operators.- Approximate Fixed Point Theorems in Banach Spaces.

Continuous Selections of Multivalued Mappings

Автор: D. Repovs; P.V. Semenov
Название: Continuous Selections of Multivalued Mappings
ISBN: 9048151112 ISBN-13(EAN): 9789048151110
Издательство: Springer
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Цена: 27944.00 р.
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Topological Fixed Point Theory of Multivalued Mappings

Автор: Lech G?rniewicz
Название: Topological Fixed Point Theory of Multivalued Mappings
ISBN: 9400787243 ISBN-13(EAN): 9789400787247
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book is devoted to the topological fixed point theory of multivalued mappings including applications to differential inclusions and mathematical economy. It is the first monograph dealing with the fixed point theory of multivalued mappings in metric ANR spaces.

Continuous Selections of Multivalued Mappings

Автор: D. Repovs; P.V. Semenov
Название: Continuous Selections of Multivalued Mappings
ISBN: 0792352777 ISBN-13(EAN): 9780792352778
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This text is a comprehensive study of the theory of continuous selections of multivalued mappings. The first part is an exposition of the basic theory, with details. The second part is a comprehensive survey of the main results. The third part collects various kinds of applications of the theory.

Multivalued Analysis and Nonlinear Programming Problems with Perturbations

Автор: B. Luderer; L. Minchenko; T. Satsura
Название: Multivalued Analysis and Nonlinear Programming Problems with Perturbations
ISBN: 1441952365 ISBN-13(EAN): 9781441952363
Издательство: Springer
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Цена: 23751.00 р.
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Handbook of Multivalued Analysis

Автор: Shouchuan Hu; Nikolaos S. Papageorgiou
Название: Handbook of Multivalued Analysis
ISBN: 0792346823 ISBN-13(EAN): 9780792346821
Издательство: Springer
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Цена: 23058.00 р.
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Описание: 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.

Handbook of Multivalued Analysis

Автор: Shouchuan Hu; Nikolaos S. Papageorgiou
Название: Handbook of Multivalued Analysis
ISBN: 1461379210 ISBN-13(EAN): 9781461379218
Издательство: Springer
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Цена: 34937.00 р.
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Описание: 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.

Handbook of Multivalued Analysis

Автор: Shouchuan Hu; Nikolaos S. Papageorgiou
Название: Handbook of Multivalued Analysis
ISBN: 1461371112 ISBN-13(EAN): 9781461371113
Издательство: Springer
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Цена: 20962.00 р.
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Handbook of Multivalued Analysis

Автор: Shouchuan Hu; Nikolaos S. Papageorgiou
Название: Handbook of Multivalued Analysis
ISBN: 0792361644 ISBN-13(EAN): 9780792361640
Издательство: Springer
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Цена: 23058.00 р.
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Описание: This theory allowed a successful unified treatment of some apparently different classes of nonstationary linear par- tial differential equations and linear functional equations.

Convex and Starlike Mappings in Several Complex Variables

Автор: Sheng Gong
Название: Convex and Starlike Mappings in Several Complex Variables
ISBN: 9401061912 ISBN-13(EAN): 9789401061919
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This interesting book deals with the theory of convex and starlike biholomorphic mappings in several complex variables. The underly- ing theme is the extension to several complex variables of geometric aspects of the classical theory of univalent functions. Because the author's introduction provides an excellent overview of the content of the book, I will not duplicate the effort here. Rather, I will place the book into historical context. The theory of univalent functions long has been an important part of the study of holomorphic functions of one complex variable. The roots of the subject go back to the famous Riemann Mapping Theorem which asserts that a simply connected region n which is a proper subset of the complex plane C is biholomorphically equivalent to the open unit disk . That is, there is a univalent function (holo- morphic bijection) I: -+ n. In the early part of this century work began to focus on the class S of normalized (f (0) = 0 and I' (0) = 1) univalent functions defined on the unit disk. The restriction to uni- valent functions defined on the unit disk is justified by the Riemann Mapping Theorem. The subject contains many beautiful results that were obtained by fundamental techniques developed by many mathe- maticians, including Koebe, Bieberbach, Loewner, Goluzin, Grunsky, and Schiffer. The best-known aspect of univalent function theory is the so-called Bieberbach conjecture which was proved by de Branges in 1984.

Quasiconformal Mappings and Sobolev Spaces

Автор: V.M. Gol`dshtein; Yu.G. Reshetnyak
Название: Quasiconformal Mappings and Sobolev Spaces
ISBN: 9401073589 ISBN-13(EAN): 9789401073585
Издательство: Springer
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Цена: 15372.00 р.
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Set-Valued Mappings, Selections and Topological Properties of 2x

Автор: W. M. Fleischman
Название: Set-Valued Mappings, Selections and Topological Properties of 2x
ISBN: 3540052933 ISBN-13(EAN): 9783540052937
Издательство: Springer
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Цена: 3487.00 р.
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