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

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Carl, Siegfried (Συγγραφέας), Heikkilä, Seppo (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: New York, NY : Springer New York, 2011.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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020 |a 9781441975850  |9 978-1-4419-7585-0 
024 7 |a 10.1007/978-1-4419-7585-0  |2 doi 
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082 0 4 |a 515  |2 23 
100 1 |a Carl, Siegfried.  |e author. 
245 1 0 |a Fixed Point Theory in Ordered Sets and Applications  |h [electronic resource] :  |b From Differential and Integral Equations to Game Theory /  |c by Siegfried Carl, Seppo Heikkilä. 
264 1 |a New York, NY :  |b Springer New York,  |c 2011. 
300 |a XIII, 477 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
505 0 |a 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. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Mathematical analysis. 
650 0 |a Analysis (Mathematics). 
650 0 |a Game theory. 
650 0 |a Economic theory. 
650 1 4 |a Mathematics. 
650 2 4 |a Analysis. 
650 2 4 |a Game Theory, Economics, Social and Behav. Sciences. 
650 2 4 |a Economic Theory/Quantitative Economics/Mathematical Methods. 
700 1 |a Heikkilä, Seppo.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9781441975843 
856 4 0 |u http://dx.doi.org/10.1007/978-1-4419-7585-0  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)