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  • © 2011

Fixed Point Theory in Ordered Sets and Applications

From Differential and Integral Equations to Game Theory

  • Presents a comprehensive treatment of an order-theoretic fixed point theory in partially ordered sets along with its various interactions with topological structures

  • Considers a wide range of mathematical theories and methods when dealing with applications

  • With numerous illustrations

  • Includes supplementary material: sn.pub/extras

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xiii
  2. Introduction

    • Siegfried Carl, Seppo Heikkilä
    Pages 1-21
  3. Fundamental Order-Theoretic Principles

    • Siegfried Carl, Seppo Heikkilä
    Pages 23-55
  4. Multi-Valued Variational Inequalities

    • Siegfried Carl, Seppo Heikkilä
    Pages 57-129
  5. Discontinuous Multi-Valued Elliptic Problems

    • Siegfried Carl, Seppo Heikkilä
    Pages 131-178
  6. Discontinuous Multi-Valued Evolutionary Problems

    • Siegfried Carl, Seppo Heikkilä
    Pages 179-195
  7. Banach-Valued Ordinary Differential Equations

    • Siegfried Carl, Seppo Heikkilä
    Pages 197-259
  8. Banach-Valued Integral Equations

    • Siegfried Carl, Seppo Heikkilä
    Pages 261-315
  9. Game Theory

    • Siegfried Carl, Seppo Heikkilä
    Pages 317-399
  10. Appendix

    • Siegfried Carl, Seppo Heikkilä
    Pages 401-457
  11. Back Matter

    Pages 459-477

About this book

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.

Reviews

From the reviews:

“The book provides a self-contained exposition of an order-theoretic fixed point theory in partially ordered sets together with its interactions with topological structures. … The book is well written and provides a very detailed study of theoretic topics along with many illustrative examples and applications of various types covering an immense range of problems. … the book is very well designed for studying nonlinear problems via a fixed point approach. Both graduate students and mathematicians … will find this book attractive, useful and highly instructive.” (Wojciech Kryszewski, Mathematical Reviews, Issue 2012 c)

Authors and Affiliations

  • Halle-Wittenberg, Institut für Mathematik, Martin-Luther-Universität, Halle, Germany

    Siegfried Carl

  • , Department of Mathematical Sciences, University of Oulu, Oulu, Finland

    Seppo Heikkilä

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access