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

Siegfried Carl

ISBN 10: 1441975845 / ISBN 13: 9781441975843

Published by Springer New York, 2010

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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. The material progresses systematically, by presenting the preliminaries before moving to more advanced topics. 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 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.

Seller Inventory # 9781441975843

Bibliographic Details

• Title: Fixed Point Theory in Ordered Sets and Applications : From Differential and Integral Equations to Game Theory
• Publisher: Springer New York
• Publication Date: 2010
• Language: English
• ISBN 10: 1441975845
• ISBN 13: 9781441975843
• Binding: Buch
• Condition: Neu
• Dimensions: 243W x 166H x 41D millimeters 243 millimeters width by 166 millimeters height by 41 millimeters depth
• Weight: 865 grams

About this title

Synopsis

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. The material progresses systematically, by presenting the preliminaries before moving to more advanced topics. 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 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.

From the Back Cover

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.