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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Carl, Siegfried (Autor), Heikkilä, Seppo (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Temas:
Mathematical analysis.
Game theory.
Econometrics.
Analysis.
Game Theory.
Quantitative Economics.
Acceso en línea:Texto Completo

MARC

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100 1 |a Carl, Siegfried.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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. 
250 |a 1st ed. 2011. 
264 1 |a New York, NY :  |b Springer New York :  |b Imprint: Springer,  |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 Mathematical analysis. 
650 0 |a Game theory. 
650 0 |a Econometrics. 
650 1 4 |a Analysis. 
650 2 4 |a Game Theory. 
650 2 4 |a Quantitative Economics. 
700 1 |a Heikkilä, Seppo.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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