A Fixed-Point Farrago

By:

Joel H. Shapiro

Format:

Paperback / softback

Series:

Universitext

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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 Biography:

Joel H. Shapiro is an adjunct professor of Mathematics and Statistics at Portland State University. He received his PhD from the University of Michigan.

Release date Australia

May 30th, 2018

Author

Joel H. Shapiro

Audience

Professional & Vocational

Edition

Softcover reprint of the original 1st ed. 2016

Illustrations

8 Illustrations, black and white; XIV, 221 p. 8 illus.

Pages

221

Series

Universitext

Dimensions

156x234x13

ISBN-13

9783319802510

Product ID

28206885

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