Fixed Point Theory in Ordered Sets and Applications [electronic resource] : From Differential and Integral Equations to Game Theory / by Siegfried Carl, Seppo Heikkil.

Por: Carl, Siegfried [author.]Colaborador(es): Heikkil, Seppo [author.]Tipo de material: TextoTextoEditor: New York, NY : Springer New York, 2011Descripción: XIII, 477 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9781441975850Trabajos contenidos: SpringerLink (Online service)Tema(s): Mathematics | Global analysis (Mathematics) | Economics, Mathematical | Mathematics | Analysis | Game Theory, Economics, Social and Behav. Sciences | Game Theory/Mathematical MethodsFormatos físicos adicionales: Sin títuloClasificación CDD: 515 Clasificación LoC:QA299.6-433Recursos en línea: de clik aquí para ver el libro electrónico
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Springer eBooksResumen: 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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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.

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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