Fixed Point Theory in Ordered Sets and Applications
From Differential and Integral Equations to Game Theory
Published on 28. November 2014
Book
Paperback/Softback
XIII, 477 pages
978-1-4899-8178-3 (ISBN)
Description
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.
Reviews / Votes
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)More details
Edition
2011 ed.
Language
English
Place of publication
New York
United States
Target group
Primary & secondary/elementary & high school
Graduate
Illustrations
XIII, 477 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 27 mm
Weight
739 gr
ISBN-13
978-1-4899-8178-3 (9781489981783)
DOI
10.1007/978-1-4419-7585-0
Schweitzer Classification
Other editions
Additional editions
Siegfried Carl | Seppo Heikkilä
Fixed Point Theory in Ordered Sets and Applications
From Differential and Integral Equations to Game Theory
Book
12/2010
1st Edition
Springer
€106.99
Shipment within 15-20 days
Siegfried Carl | Seppo Heikkilä
Fixed Point Theory in Ordered Sets and Applications
From Differential and Integral Equations to Game Theory
E-Book
11/2010
1st Edition
Springer
€96.29
Available for download
Persons
Siegfried Carl received his PhD in Mathematics from the University of Halle, where he has been a Professor of Mathematics at the Institute of Mathematics since 1995. He has published more than 150 research articles and three research monographs. He has served as an Associate Editor of various mathematical journals and acted as an Editor-in-Chief of the journal Nonlinear Analysis.
Vy Khoi Le received his PhD in Mathematics from the University of Utah, and has been a Professor of Mathematics at the Department of Mathematics and Statistics, Missouri University of Science and Technology since 2006. He is the author or co-author of more than 100 research articles and three research monographs. He has served as an Associate Editor of various international journals of mathematics.
Content
Preface.- Introduction.- Fundamental Order-Theoretic Principles.- Multi-Valued Variational Inequalities.- Discontinuous Multi-Valued Elliptic Problems.- Discontinutous Multi-Valued Evolutionary Problems.- Banach-Valued Ordinary Differential Equations.- Banach-Valued Integral Equations.- Game Theory.- Appendix.- List of Symbols.- References.- Index.