Convex Analysis and Variational Problems, Ivar Ekeland, Roger T?mam

Автор: M.J. Panik
Название: Fundamentals of Convex Analysis
ISBN: 9048142717 ISBN-13(EAN): 9789048142712
Издательство: Springer
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Цена: 158340.00 T
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Описание: Fundamentals of Convex Analysis offers an in-depth look at some of the fundamental themes covered within an area of mathematical analysis called convex analysis.

Автор: Jean-Baptiste Hiriart-Urruty; Claude Lemarechal
Название: Convex Analysis and Minimization Algorithms I
ISBN: 3642081614 ISBN-13(EAN): 9783642081613
Издательство: Springer
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Цена: 83850.00 T
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Описание: This book covers the fundamentals of convex analysis, a refinement of standard calculus with equalities and approximations replaced by inequalities. Reviews minimization algorithms, which provide immediate application to optimization and operations research.

Автор: C. Castaing; M. Valadier
Название: Convex Analysis and Measurable Multifunctions
ISBN: 3540081445 ISBN-13(EAN): 9783540081449
Издательство: Springer
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Цена: 41920.00 T
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Автор: Ball
Название: Convex Geometric Analysis
ISBN: 0521155649 ISBN-13(EAN): 9780521155649
Издательство: Cambridge Academ
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Цена: 40130.00 T
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Описание: This 1999 book is a collection of research and expository articles on convex geometry and probability, suitable for researchers and graduate students in several branches of mathematics coming under the broad heading of `Geometric Functional Analysis`. It arises arises from an MSRI program held in the spring of 1996.

Автор: Aram Arutyunov, Valeri Obukhovskii
Название: Convex and Set-Valued Analysis
ISBN: 3110460289 ISBN-13(EAN): 9783110460285
Издательство: Walter de Gruyter
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Описание: This textbook is devoted to a compressed and self-contained exposition of two important parts of contemporary mathematics: convex and set-valued analysis. In the first part, properties of convex sets, the theory of separation, convex functions and their differentiability, properties of convex cones in finite- and infinite-dimensional spaces are discussed. The second part covers some important parts of set-valued analysis. There the properties of the Hausdorff metric and various continuity concepts of set-valued maps are considered. The great attention is paid also to measurable set-valued functions, continuous, Lipschitz and some special types of selections, fixed point and coincidence theorems, covering set-valued maps, topological degree theory and differential inclusions. Contents: PrefacePart I: Convex analysisConvex sets and their propertiesThe convex hull of a set. The interior of convex setsThe affine hull of sets. The relative interior of convex setsSeparation theorems for convex setsConvex functionsClosedness, boundedness, continuity, and Lipschitz property of convex functionsConjugate functionsSupport functionsDifferentiability of convex functions and the subdifferentialConvex conesA little more about convex cones in infinite-dimensional spacesA problem of linear programmingMore about convex sets and convex hullsPart II: Set-valued analysisIntroduction to the theory of topological and metric spacesThe Hausdorff metric and the distance between setsSome fine properties of the Hausdorff metricSet-valued maps. Upper semicontinuous and lower semicontinuous set-valued mapsA base of topology of the spaceHc(X)Measurable set-valued maps. Measurable selections and measurable choice theoremsThe superposition set-valued operatorThe Michael theorem and continuous selections. Lipschitz selections. Single-valued approximationsSpecial selections of set-valued mapsDifferential inclusionsFixed points and coincidences of maps in metric spacesStability of coincidence points and properties of covering mapsTopological degree and fixed points of set-valued maps in Banach spacesExistence results for differential inclusions via the fixed point methodNotationBibliographyIndex

Автор: Borwein, Jonathan M. Lewis, Adrian S. (university Of Waterloo)
Название: Convex analysis and nonlinear optimization
ISBN: 1441921273 ISBN-13(EAN): 9781441921277
Издательство: Springer
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Цена: 55850.00 T
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Описание: Optimization is a rich and thriving mathematical discipline, and the underlying theory of current computational optimization techniques grows ever more sophisticated. This new edition adds material on semismooth optimization, as well as several new proofs.

Автор: Erhan ??nlar; Robert J Vanderbei
Название: Real and Convex Analysis
ISBN: 1489998594 ISBN-13(EAN): 9781489998590
Издательство: Springer
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Цена: 41920.00 T
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Описание: The first undergraduate text to provide an accessible introduction to real and convex analysis, this book by renowned Princeton University academics covers all the fundamentals as well as the tools of analysis, and features lots of illustrations and exercises.

Автор: Ilya J. Bakelman
Название: Convex Analysis and Nonlinear Geometric Elliptic Equations
ISBN: 3642698832 ISBN-13(EAN): 9783642698835
Издательство: Springer
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Цена: 79190.00 T
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Описание: Investigations in modem nonlinear analysis rely on ideas, methods and prob- lems from various fields of mathematics, mechanics, physics and other applied sciences.

Автор: Joshua Adam Taylor
Название: Convex Optimization of Power Systems
ISBN: 1107076870 ISBN-13(EAN): 9781107076877
Издательство: Cambridge Academ
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Цена: 80250.00 T
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Описание: This mathematically rigorous guide to convex optimization for power systems engineering includes convex models for a variety of real-world applications, and a selection of problems and practical examples. An invaluable resource for students and researchers from industry and academia in power systems, optimization, and control.

Автор: Kazuo Murota
Название: Discrete Convex Analysis
ISBN: 1611972558 ISBN-13(EAN): 9781611972559
Издательство: Mare Nostrum (Eurospan)
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Цена: 150610.00 T
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Описание: This self-contained book is designed to provide a novel insight into optimization on discrete structures and should reveal unexpected links among different disciplines. It is the first and only English-language monograph on the theory and applications of discrete convex analysis.

Автор: Schneider
Название: Convex Bodies: The Brunn–Minkowski Theory
ISBN: 1107601010 ISBN-13(EAN): 9781107601017
Издательство: Cambridge Academ
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Цена: 170010.00 T
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Описание: Now in its second edition, this classic text has been expanded to reflect significant developments in Brunn-Minkowski theory over the past two decades. It gives a complete presentation from basics to the exposition of current research, with full proofs, pointers to other fields and a fully updated reference list.

Автор: Alexander Koldobsky
Название: Fourier Analysis in Convex Geometry
ISBN: 1470419521 ISBN-13(EAN): 9781470419523
Издательство: Mare Nostrum (Eurospan)
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Цена: 69300.00 T
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Описание: The study of the geometry of convex bodies based on information about sections and projections of these bodies has important applications in many areas of mathematics and science. In this book, a new Fourier analysis approach is discussed. The idea is to express certain geometric properties of bodies in terms of Fourier analysis and to use harmonic analysis methods to solve geometric problems.