Fixed Point Theory in Ordered Sets and Applications: From Differential and Integral Equations to Game Theory - Softcover

Carl, Siegfried; Heikkilä, Seppo

 
9781489981783: Fixed Point Theory in Ordered Sets and Applications: From Differential and Integral Equations to Game Theory
Softcover
ISBN 10: 1489981780 ISBN 13: 9781489981783
Verlag: Springer, 2014

Inhaltsangabe

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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Über die Autorin bzw. den Autor

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.

Von der hinteren Coverseite

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. It begins with a discussion of some simple examples of the order-theoretic fixed point results along with simple applications from each of the diverse fields. The fixed point theory is then developed and preliminary results on multi-valued variational inequalities regarding the topological and order-theoretical structure of solution sets are covered. This is followed by more advanced material which demonstrates the power of the developed fixed point theory. 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 in 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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Verlag
Springer
Erscheinungsdatum
2014
Sprache
Englisch
ISBN 10 
1489981780
ISBN 13 
9781489981783
Einband
Taschenbuch
Anzahl der Seiten
492
Kontakt zum Hersteller
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ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Deutschland

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9781441975843: Fixed Point Theory in Ordered Sets and Applications: From Differential and Integral Equations to Game Theory

Vorgestellte Ausgabe

ISBN 10:  1441975845 ISBN 13:  9781441975843
Verlag: Springer, 2010
Hardcover