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Elementary Fixed Point Theorems, Subrahmanyam P. V.


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Автор: Subrahmanyam P. V.
Название:  Elementary Fixed Point Theorems
ISBN: 9789811331572
Издательство: Springer
Классификация:

ISBN-10: 981133157X
Обложка/Формат: Hardcover
Страницы: 302
Вес: 0.62 кг.
Дата издания: 11.03.2019
Серия: Forum for interdisciplinary mathematics
Язык: English
Издание: 1st ed. 2018
Иллюстрации: 5 illustrations, black and white; xiii, 302 p. 5 illus.
Размер: 161 x 241 x 25
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book provides a primary resource in basic fixed-point theorems due to Banach, Brouwer, Schauder and Tarski and their applications. Key topics covered include Sharkovsky’s theorem on periodic points, Thron’s results on the convergence of certain real iterates, Shield’s common fixed theorem for a commuting family of analytic functions and Bergweiler’s existence theorem on fixed points of the composition of certain meromorphic functions with transcendental entire functions. Generalizations of Tarski’s theorem by Merrifield and Stein and Abian’s proof of the equivalence of Bourbaki–Zermelo fixed-point theorem and the Axiom of Choice are described in the setting of posets. A detailed treatment of Ward’s theory of partially ordered topological spaces culminates in Sherrer fixed-point theorem. It elaborates Manka’s proof of the fixed-point property of arcwise connected hereditarily unicoherent continua, based on the connection he observed between set theory and fixed-point theory via a certain partial order. Contraction principle is provided with two proofs: one due to Palais and the other due to Barranga. Applications of the contraction principle include the proofs of algebraic Weierstrass preparation theorem, a Cauchy–Kowalevsky theorem for partial differential equations and the central limit theorem. It also provides a proof of the converse of the contraction principle due to Jachymski, a proof of fixed point theorem for continuous generalized contractions, a proof of Browder–Gohde–Kirk fixed point theorem, a proof of Stallings generalization of Brouwers theorem, examine Caristis fixed point theorem, and highlights Kakutanis theorems on common fixed points and their applications.
Дополнительное описание: Chapter 1. Prerequisites.- Chapter 2. Fixed Points of Some Real and Complex Functions.- Chapter 3. Fixed Points and Order.- Chapter 4. Partially Ordered Topological Spaces and Fixed Points.- Chapter 5. Contraction Principle.- Chapter 6. Applications of th



Fixed Point Theorems and Applications

Автор: Vittorino Pata
Название: Fixed Point Theorems and Applications
ISBN: 3030196690 ISBN-13(EAN): 9783030196691
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics. The content is divided into two main parts. The first, which is more theoretical, develops the main abstract theorems on the existence and uniqueness of fixed points of maps. In turn, the second part focuses on applications, covering a large variety of significant results ranging from ordinary differential equations in Banach spaces, to partial differential equations, operator theory, functional analysis, measure theory, and game theory. A final section containing 50 problems, many of which include helpful hints, rounds out the coverage. Intended for Master’s and PhD students in Mathematics or, more generally, mathematically oriented subjects, the book is designed to be largely self-contained, although some mathematical background is needed: readers should be familiar with measure theory, Banach and Hilbert spaces, locally convex topological vector spaces and, in general, with linear functional analysis.

Theorems and Problems in Functional Analysis

Автор: A. A. Kirillov; H. H. McFaden; A. D. Gvishiani
Название: Theorems and Problems in Functional Analysis
ISBN: 038790638X ISBN-13(EAN): 9780387906386
Издательство: Springer
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Цена: 8378.00 р.
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Описание: Functional analysis takes up topological linear spaces, topological groups, normed rings, modules of representations of topological groups in topological linear spaces, and so on.

Tauberian Theorems for Generalized Functions

Автор: V.S. Vladimirov; Yu.N. Drozzinov; O.I. Zavialov
Название: Tauberian Theorems for Generalized Functions
ISBN: 9027723834 ISBN-13(EAN): 9789027723833
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non- trivially) in regional and theoretical economics;

Problems and Theorems in Analysis

Автор: Georg Polya; Dorothee Aeppli; Gabor Szeg?
Название: Problems and Theorems in Analysis
ISBN: 0387902244 ISBN-13(EAN): 9780387902241
Издательство: Springer
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Цена: 11179.00 р.
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Описание: The present English edition is not a mere translation of the German original. To include all such developments would have changed the character of the work, and even an incomplete account, which would be unsatisfactory in itself, would have cost too much labor and taken up too much space.

Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities

Автор: Dumitru Motreanu; Panagiotis D. Panagiotopoulos
Название: Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities
ISBN: 1461368200 ISBN-13(EAN): 9781461368205
Издательство: Springer
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Цена: 20962.00 р.
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Sharp Real-Part Theorems

Автор: Gershon Kresin; T. Shaposhnikova; T. Shaposhnikova
Название: Sharp Real-Part Theorems
ISBN: 3540695737 ISBN-13(EAN): 9783540695738
Издательство: Springer
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Цена: 4186.00 р.
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Описание: This volume contains a coherent point of view on various sharp pointwise inequalities for analytic functions in a disk in terms of the real part of the function on the boundary circle or in the disk itself. Inequalities of this type are frequently used in the theory of entire functions and in the analytic number theory.

Vanishing Theorems on Complex Manifolds

Автор: B. Shiffman; Sommese
Название: Vanishing Theorems on Complex Manifolds
ISBN: 148996682X ISBN-13(EAN): 9781489966827
Издательство: Springer
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Цена: 10480.00 р.
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Fixed Point Theorems and Their Applications

Автор: Farmakis Ioannis
Название: Fixed Point Theorems and Their Applications
ISBN: 9814458910 ISBN-13(EAN): 9789814458917
Издательство: World Scientific Publishing
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Цена: 12672.00 р.
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Описание: This is the only book that deals comprehensively with fixed point theorems throughout mathematics. Their importance is due, as the book demonstrates, to their wide applicability. Beyond the first chapter, each of the other seven can be read independently of the others so the reader has much flexibility to follow his/her own interests. The book is written for graduate students and professional mathematicians and could be of interest to physicists, economists and engineers.

Uniform Central Limit Theorems

Автор: Dudley
Название: Uniform Central Limit Theorems
ISBN: 0521498848 ISBN-13(EAN): 9780521498845
Издательство: Cambridge Academ
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Цена: 14731.00 р.
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Описание: This second edition of a classic work has been considerably expanded and revised, now with complete proofs of all results, including several new theorems not included in the first edition, such as Talagrand`s generic chaining approach to boundedness of Gaussian processes and Gine and Zinn`s characterization of uniform Donsker classes.

Multiparameter Eigenvalue Problems and Expansion Theorems

Автор: Hans Volkmer
Название: Multiparameter Eigenvalue Problems and Expansion Theorems
ISBN: 3540504796 ISBN-13(EAN): 9783540504795
Издательство: Springer
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Цена: 3492.00 р.
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Описание: Offers a self-contained treatment of two of the main problems of multiparameter spectral theory: the existence of eigenvalues and the expansion in series of eigenfunctions. This book focuses on various definiteness conditions which can be imposed on multiparameter eigenvalue problems.

Wigner-type theorems for hilbert grassmannians

Автор: Pankov, Mark
Название: Wigner-type theorems for hilbert grassmannians
ISBN: 1108790917 ISBN-13(EAN): 9781108790918
Издательство: Cambridge Academ
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Цена: 9346.00 р.
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Описание: Wigner`s theorem plays an important role in the mathematical foundations of quantum mechanics. This book provides a quick, accessible introduction to the geometric approach to Wigner-type theorems, unifying both classical and more recent results, and is suitable for graduate students as well as more experienced researchers.


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