Fixed Point Theory in Ordered Sets and Applications (PDF)

Name: Fixed Point Theory in Ordered Sets and Applications
Brand: Springer-Verlag GmbH
SKU: 29584389
Price: 96.29 EUR
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From Differential and Integral Equations to Game Theory (Sprache: Englisch)

Autoren: Siegfried Carl , Seppo Heikkilä

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Fixed Point Theory in Ordered Sets and Applications, Siegfried Carl, Seppo Heikkilä

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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.

Autoren-Porträt von Siegfried Carl, Seppo Heikkilä

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Bibliographische Angaben

Autoren: Siegfried Carl , Seppo Heikkilä
2010, 2011, 477 Seiten, Englisch
Verlag: Springer-Verlag GmbH
ISBN-10: 1441975853
ISBN-13: 9781441975850
Erscheinungsdatum: 17.11.2010

Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.

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Dateiformat: PDF
Größe: 5.84 MB
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Englisch

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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)

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