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Fixed Point Theorems and Applications, Vittorino Pata


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Автор: Vittorino Pata
Название:  Fixed Point Theorems and Applications
ISBN: 9783030196691
Издательство: Springer
Классификация:




ISBN-10: 3030196690
Обложка/Формат: Soft cover
Страницы: 171
Вес: 0.41 кг.
Дата издания: 2019
Серия: La Matematica per il 3+2
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 1 illustrations, black and white; xvii, 171 p. 1 illus.
Размер: 238 x 183 x 8
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
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.
Дополнительное описание: 1 The Banach contraction principle 7.- 2 The Boyd-Wongtheorem 13.- 3 Further extensions of the contraction principle 16.- 4 Weak contractions 23.- 5 Contractions of ?-type 29.- 6 Sequences of maps and ?xed points 36.- 7 Fixed points of non-expansive maps



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.

Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables

Автор: Shoumei Li; Y. Ogura; V. Kreinovich
Название: Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables
ISBN: 9048161398 ISBN-13(EAN): 9789048161393
Издательство: Springer
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Цена: 13974.00 р.
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Описание: After the pioneering works by Robbins {1944, 1945) and Choquet (1955), the notation of a set-valued random variable (called a random closed set in literatures) was systematically introduced by Kendall {1974) and Matheron {1975).

Elementary Fixed Point Theorems

Автор: Subrahmanyam P. V.
Название: Elementary Fixed Point Theorems
ISBN: 981133157X ISBN-13(EAN): 9789811331572
Издательство: Springer
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Цена: 9781.00 р.
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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 Stalling's generalization of Brouwer's theorem, examine Caristi's fixed point theorem, and highlights Kakutani's theorems on common fixed points and their applications.

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.

An Introduction to Minimax Theorems and Their Applications to Differential Equations

Автор: Maria do Ros?rio Grossinho; Stepan Agop Tersian
Название: An Introduction to Minimax Theorems and Their Applications to Differential Equations
ISBN: 0792368320 ISBN-13(EAN): 9780792368328
Издательство: Springer
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Цена: 20956.00 р.
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Описание: This text is intended to be an introduction to critical point theory and its applications to differential equations. Its goals include: presenting a survey of existing minimax theorems; and giving applications to elliptic differential equations in bounded domains.

The Open Mapping and Closed Graph Theorems in Topological Vector Spaces

Автор: Taqdir Husain; Taqdir Husain
Название: The Open Mapping and Closed Graph Theorems in Topological Vector Spaces
ISBN: 3322960773 ISBN-13(EAN): 9783322960771
Издательство: Springer
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Цена: 12157.00 р.
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Описание: THE main purpose of writing this monograph is to give a picture of the progress made in recent years in understanding three of the deepest results of Functional Analysis-namely, the open-mapping and closed- graph theorems, and the so-called Krein-~mulian theorem.

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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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.

Limit Theorems in Probability, Statistics and Number Theory

Автор: Peter Eichelsbacher; Guido Elsner; Holger K?sters;
Название: Limit Theorems in Probability, Statistics and Number Theory
ISBN: 3642433960 ISBN-13(EAN): 9783642433962
Издательство: Springer
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Цена: 16769.00 р.
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Описание:

​Limit theorems and asymptotic results form a central topic in probability theory and mathematical statistics. New and non-classical limit theorems have been discovered for processes in random environments, especially in connection with random matrix theory and free probability. These questions and the techniques for answering them combine asymptotic enumerative combinatorics, particle systems and approximation theory, and are important for new approaches in geometric and metric number theory as well. Thus, the contributions in this book include a wide range of applications with surprising connections ranging from longest common subsequences for words, permutation groups, random matrices and free probability to entropy problems and metric number theory.

The book is the product of a conference that took place in August 2011 in Bielefeld, Germany to celebrate the 60th birthday of Friedrich G tze, a noted expert in this field.

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;


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