Fixed point theory in ordered sets and applications
from differential and integral equations to game theory
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Author
Contributions
- Heikkilä,Seppo - Contributor
Publication
2011 - Springer, New York, NY, New York (State)
Language
English
Word Count
119,250 words, Guess
Page Count
477 pages
Identifiers
- Internet Archivefixedpointtheory00scar
- ISBN-101441975845
- ISBN-139781441975843
- Library of Congress Control Number2011282663
- OCLC Control Number707644893
and 2 more
- Better World Books9781441975843
- Open LibraryOL25244115M
Classifications
- LCCQA269 .C35 2011
- LCCQA299.6-433HB144QA26
- LCCQA269 .C37 2011
Description
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.
Subjects
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