Siegfried Carl, Seppo Heikkilä

Fixed Point Theory in Ordered Sets and Applications (eBook, PDF)

From Differential and Integral Equations to Game Theory

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 477
• Erscheinungstermin: 17. November 2010
• Englisch
• ISBN-13: 9781441975850
• Artikelnr.: 37344764

Autorenporträt

Both authors are leaders in the field.

Inhaltsangabe

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.

Rezensionen

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)