A Fixed-Point Farrago PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download A Fixed-Point Farrago PDF full book. Access full book title A Fixed-Point Farrago by Joel H. Shapiro. Download full books in PDF and EPUB format.
Author: Joel H. Shapiro
Publisher: Springer
ISBN: 3319279785
Category : Mathematics
Languages : en
Pages : 225
Get Book Here
Book Description
This text provides an introduction to some of the best-known fixed-point theorems, with an emphasis on their interactions with topics in analysis. The level of exposition increases gradually throughout the book, building from a basic requirement of undergraduate proficiency to graduate-level sophistication. Appendices provide an introduction to (or refresher on) some of the prerequisite material and exercises are integrated into the text, contributing to the volume’s ability to be used as a self-contained text. Readers will find the presentation especially useful for independent study or as a supplement to a graduate course in fixed-point theory. The material is split into four parts: the first introduces the Banach Contraction-Mapping Principle and the Brouwer Fixed-Point Theorem, along with a selection of interesting applications; the second focuses on Brouwer’s theorem and its application to John Nash’s work; the third applies Brouwer’s theorem to spaces of infinite dimension; and the fourth rests on the work of Markov, Kakutani, and Ryll–Nardzewski surrounding fixed points for families of affine maps.
Author: Joel H. Shapiro
Publisher: Springer
ISBN: 3319279785
Category : Mathematics
Languages : en
Pages : 225
Get Book Here
Book Description
This text provides an introduction to some of the best-known fixed-point theorems, with an emphasis on their interactions with topics in analysis. The level of exposition increases gradually throughout the book, building from a basic requirement of undergraduate proficiency to graduate-level sophistication. Appendices provide an introduction to (or refresher on) some of the prerequisite material and exercises are integrated into the text, contributing to the volume’s ability to be used as a self-contained text. Readers will find the presentation especially useful for independent study or as a supplement to a graduate course in fixed-point theory. The material is split into four parts: the first introduces the Banach Contraction-Mapping Principle and the Brouwer Fixed-Point Theorem, along with a selection of interesting applications; the second focuses on Brouwer’s theorem and its application to John Nash’s work; the third applies Brouwer’s theorem to spaces of infinite dimension; and the fourth rests on the work of Markov, Kakutani, and Ryll–Nardzewski surrounding fixed points for families of affine maps.
Author: Andrzej Granas
Publisher: Springer Science & Business Media
ISBN: 038721593X
Category : Mathematics
Languages : en
Pages : 706
Get Book Here
Book Description
The theory of Fixed Points is one of the most powerful tools of modern mathematics. This book contains a clear, detailed and well-organized presentation of the major results, together with an entertaining set of historical notes and an extensive bibliography describing further developments and applications. From the reviews: "I recommend this excellent volume on fixed point theory to anyone interested in this core subject of nonlinear analysis." --MATHEMATICAL REVIEWS
Author: Arthur Conan Doyle
Publisher:
ISBN: 9780938501435
Category : Detective and mystery stories, English
Languages : en
Pages : 185
Get Book Here
Book Description
"The latest wave of Sherlockians come to the hobby from a non-traditional perspective. They are the online generation. And yet, their passion for the world's greatest detective is as strong as those in the traditional Sherlockian universe. And now these two worlds come together in this volume"--Publisher's website.
Author: Rose Hobart
Publisher: Scarecrow Press
ISBN: 9780810828629
Category : Biography & Autobiography
Languages : en
Pages : 200
Get Book Here
Book Description
Hobart writes about the first 45 years of her life, including her childhood in New York, the start of her theatrical career in Chautauqua, her adventures as a Hollywood actress, the demise of three marriages, and her efforts to clear her name after being blacklisted in Hollywood. Of special interest is the sane perspective that Hobart, now 89, brings to her story and her attention to the connections that pull these seemingly disjointed events together into a coherent story of a life. Annotation copyright by Book News, Inc., Portland, OR
Author: Leslie S. Klinger
Publisher:
ISBN:
Category :
Languages : en
Pages : 4
Get Book Here
Book Description
Author: Vittorino Pata
Publisher: Springer Nature
ISBN: 3030196704
Category : Mathematics
Languages : en
Pages : 171
Get Book Here
Book Description
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.
Author: M. J. Todd
Publisher: Springer Science & Business Media
ISBN: 3642503276
Category : Mathematics
Languages : en
Pages : 138
Get Book Here
Book Description
Fixed-point algorithms have diverse applications in economics, optimization, game theory and the numerical solution of boundary-value problems. Since Scarf's pioneering work [56,57] on obtaining approximate fixed points of continuous mappings, a great deal of research has been done in extending the applicability and improving the efficiency of fixed-point methods. Much of this work is available only in research papers, although Scarf's book [58] gives a remarkably clear exposition of the power of fixed-point methods. However, the algorithms described by Scarf have been super~eded by the more sophisticated restart and homotopy techniques of Merrill [~8,~9] and Eaves and Saigal [1~,16]. To understand the more efficient algorithms one must become familiar with the notions of triangulation and simplicial approxi- tion, whereas Scarf stresses the concept of primitive set. These notes are intended to introduce to a wider audience the most recent fixed-point methods and their applications. Our approach is therefore via triangu- tions. For this reason, Scarf is cited less in this manuscript than his contri- tions would otherwise warrant. We have also confined our treatment of applications to the computation of economic equilibria and the solution of optimization problems. Hansen and Koopmans [28] apply fixed-point methods to the computation of an invariant optimal capital stock in an economic growth model. Applications to game theory are discussed in Scarf [56,58], Shapley [59], and Garcia, Lemke and Luethi [24]. Allgower [1] and Jeppson [31] use fixed-point algorithms to find many solutions to boundary-value problems.
Author: Kim C. Border
Publisher: Cambridge University Press
ISBN: 9780521388085
Category : Business & Economics
Languages : en
Pages : 144
Get Book Here
Book Description
This book explores fixed point theorems and its uses in economics, co-operative and noncooperative games.
Author: Saleh Almezel
Publisher: Springer Science & Business Media
ISBN: 3319015869
Category : Mathematics
Languages : en
Pages : 316
Get Book Here
Book Description
The purpose of this contributed volume is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The book presents information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as well as to those whose primary interest is the study of fixed point theory and the underlying spaces. The level of exposition is directed to a wide audience, including students and established researchers. Key topics covered include Banach contraction theorem, hyperconvex metric spaces, modular function spaces, fixed point theory in ordered sets, topological fixed point theory for set-valued maps, coincidence theorems, Lefschetz and Nielsen theories, systems of nonlinear inequalities, iterative methods for fixed point problems, and the Ekeland’s variational principle.
Author: Ravi P. Agarwal
Publisher: Springer Science & Business Media
ISBN: 0387758186
Category : Mathematics
Languages : en
Pages : 373
Get Book Here
Book Description
In recent years, the fixed point theory of Lipschitzian-type mappings has rapidly grown into an important field of study in both pure and applied mathematics. It has become one of the most essential tools in nonlinear functional analysis. This self-contained book provides the first systematic presentation of Lipschitzian-type mappings in metric and Banach spaces. The first chapter covers some basic properties of metric and Banach spaces. Geometric considerations of underlying spaces play a prominent role in developing and understanding the theory. The next two chapters provide background in terms of convexity, smoothness and geometric coefficients of Banach spaces including duality mappings and metric projection mappings. This is followed by results on existence of fixed points, approximation of fixed points by iterative methods and strong convergence theorems. The final chapter explores several applicable problems arising in related fields. This book can be used as a textbook and as a reference for graduate students, researchers and applied mathematicians working in nonlinear functional analysis, operator theory, approximations by iteration theory, convexity and related geometric topics, and best approximation theory.
