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...

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Gorde:
Xehetasun bibliografikoak
Egile Nagusiak: Carl, Siegfried, Heikkilä, Seppo, 1939- (Egilea)
Formatua: Livre numérique
Hizkuntza:Anglais
Argitaratua: New York, NY : Springer New York 2011.
Cham : Springer Nature
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Sarrera elektronikoa:Accès sur la plateforme de l'éditeur
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Edition sous un autre format:• Fixed Point Theory in Ordered Sets and Applications, Texte imprimé, 9781441975843
• Fixed Point Theory in Ordered Sets and Applications, Texte imprimé, 9781441975867
• Fixed Point Theory in Ordered Sets and Applications, Texte imprimé, 9781489981783
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100 1 |a Carl, Siegfried. 
245 1 0 |a Fixed point theory in ordered sets and applications :  |b from differential and integral equations to game theory   |c Siegfried Carl, Seppo Heikkilä. 
260 |a New York, NY :  |b Springer New York. 
260 |a Cham :  |b Springer Nature,  |c 2011. 
500 |a Archives Springer e-books (Licence nationale) 
500 |a Archives Springer e-books (Licence nationale) 
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. 
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506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
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 |a Opérateurs non linéaires 
650 |a Équations différentielles 
650 |a Théorie des jeux 
700 1 |a Heikkilä, Seppo,  |d 1939-  |4 aut 
760 0 |t Mathematics and Statistics 
776 0 |t Fixed Point Theory in Ordered Sets and Applications  |b Texte imprimé  |z 9781441975843 
776 0 |t Fixed Point Theory in Ordered Sets and Applications  |b Texte imprimé  |z 9781441975867 
776 0 |t Fixed Point Theory in Ordered Sets and Applications  |b Texte imprimé  |z 9781489981783 
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