A Fixed Point Farrago
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A Fixed Point Farrago
Author | : Joel H. Shapiro |
Publsiher | : Springer |
Total Pages | : 221 |
Release | : 2016-05-23 |
Genre | : Mathematics |
ISBN | : 9783319279787 |
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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.
A Journey Through Discrete Mathematics
Author | : Martin Loebl,Jaroslav Nešetřil,Robin Thomas |
Publsiher | : Springer |
Total Pages | : 810 |
Release | : 2017-10-11 |
Genre | : Computers |
ISBN | : 9783319444796 |
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This collection of high-quality articles in the field of combinatorics, geometry, algebraic topology and theoretical computer science is a tribute to Jiří Matoušek, who passed away prematurely in March 2015. It is a collaborative effort by his colleagues and friends, who have paid particular attention to clarity of exposition – something Jirka would have approved of. The original research articles, surveys and expository articles, written by leading experts in their respective fields, map Jiří Matoušek’s numerous areas of mathematical interest.
Diagonalization in Formal Mathematics
Author | : Paulo Guilherme Santos |
Publsiher | : Springer Nature |
Total Pages | : 89 |
Release | : 2020-01-04 |
Genre | : Mathematics |
ISBN | : 9783658291112 |
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In this book, Paulo Guilherme Santos studies diagonalization in formal mathematics from logical aspects to everyday mathematics. He starts with a study of the diagonalization lemma and its relation to the strong diagonalization lemma. After that, Yablo’s paradox is examined, and a self-referential interpretation is given. From that, a general structure of diagonalization with paradoxes is presented. Finally, the author studies a general theory of diagonalization with the help of examples from mathematics.
Volterra Adventures
Author | : Joel H. Shapiro |
Publsiher | : American Mathematical Soc. |
Total Pages | : 219 |
Release | : 2018-06-14 |
Genre | : Convolutions (Mathematics) |
ISBN | : 9781470441166 |
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This book introduces functional analysis to undergraduate mathematics students who possess a basic background in analysis and linear algebra. By studying how the Volterra operator acts on vector spaces of continuous functions, its readers will sharpen their skills, reinterpret what they already know, and learn fundamental Banach-space techniques—all in the pursuit of two celebrated results: the Titchmarsh Convolution Theorem and the Volterra Invariant Subspace Theorem. Exercises throughout the text enhance the material and facilitate interactive study.
Fixed Point Theory in Metric Type Spaces
Author | : Ravi P. Agarwal,Erdal KARAPINAR,Donal O'Regan,Antonio Francisco Roldán-López-de-Hierro |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 2015 |
Genre | : Electronic Book |
ISBN | : 3319240811 |
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Fixed Point Theory and its Applications Mexico
Author | : Helga Fetter Nathansky,Berta Gamboa de Buen,Kazimierz Goebel |
Publsiher | : Unknown |
Total Pages | : 224 |
Release | : 2006-07 |
Genre | : Electronic Book |
ISBN | : 4946552251 |
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A Fixed Point Theorem
Author | : Walter T. Kyner |
Publsiher | : Franklin Classics Trade Press |
Total Pages | : 26 |
Release | : 2018-11-10 |
Genre | : History |
ISBN | : 035324774X |
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This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Brouwer Fixed Point Theorem with Equivalences Extensions and Applications
Author | : Stephen Edwin Scherer |
Publsiher | : Unknown |
Total Pages | : 158 |
Release | : 1969 |
Genre | : Fixed point theory |
ISBN | : OCLC:20430588 |
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