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Catalogue Information
Field name	Details
Dewey Class	515
Title	Fixed Point Theory in Ordered Sets and Applications (EB) : From Differential and Integral Equations to Game Theory / by Siegfried Carl, Seppo Heikkilä
Author	Carl, Siegfried , 1949-
Added Personal Name	Heikkilä., Seppo
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2011.
Physical Details	XIII, 477p. 20 illus. : online resource.
ISBN	9781441975850
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4419-7585-0
Links to Related Works	Subject References: Analysis . Economics, Mathematical . Game Theory, Economics, Social and Behav. Sciences . Game Theory/Mathematical Methods . Global analysis (Mathematics) . Mathematics . Authors: author . Carl, Siegfried 1949- . Heikkilä., Seppo . Corporate Authors: SpringerLink (Online service) . Classification: 515 .

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

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