Overview
- Presents a comprehensive treatment of an order-theoretic fixed point theory in partially ordered sets along with its various interactions with topological structures
- Considers a wide range of mathematical theories and methods when dealing with applications
- With numerous illustrations
- Includes supplementary material: sn.pub/extras
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About this book
This monograph provides a unified and comprehensive treatment of an order-theoretic fixed point theory in partially ordered sets and its various useful interactions with topological structures. The material progresses systematically, by presenting the preliminaries before moving to more advanced topics. In the treatment of the applications a wide range of mathematical theories and methods from nonlinear analysis and integration theory are applied; an outline of which has been given an appendix chapter to make the book self-contained.
Graduate students and researchers in nonlinear analysis, pure and applied mathematics, game theory and mathematical economics will find this book useful.
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Keywords
Table of contents (9 chapters)
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Front Matter
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Back Matter
Reviews
From the reviews:
“The book provides a self-contained exposition of an order-theoretic fixed point theory in partially ordered sets together with its interactions with topological structures. … The book is well written and provides a very detailed study of theoretic topics along with many illustrative examples and applications of various types covering an immense range of problems. … the book is very well designed for studying nonlinear problems via a fixed point approach. Both graduate students and mathematicians … will find this book attractive, useful and highly instructive.” (Wojciech Kryszewski, Mathematical Reviews, Issue 2012 c)Authors and Affiliations
Bibliographic Information
Book Title: Fixed Point Theory in Ordered Sets and Applications
Book Subtitle: From Differential and Integral Equations to Game Theory
Authors: Siegfried Carl, Seppo Heikkilä
DOI: https://doi.org/10.1007/978-1-4419-7585-0
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2011
Hardcover ISBN: 978-1-4419-7584-3Published: 01 December 2010
Softcover ISBN: 978-1-4899-8178-3Published: 28 November 2014
eBook ISBN: 978-1-4419-7585-0Published: 17 November 2010
Edition Number: 1
Number of Pages: XIII, 477
Topics: Analysis, Game Theory, Economics, Social and Behav. Sciences, Economic Theory/Quantitative Economics/Mathematical Methods