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Topological Methods in Complementarity Theory

  • Book
  • © 2000

Overview

Authors:
  1. George Isac

    1. Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Canada

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Part of the book series: Nonconvex Optimization and Its Applications (NOIA, volume 41)

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XIII
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  2. Convex Cones

    • George Isac
    Pages 1-59

  3. Complementarity Problems. Origins and Definitions

    • George Isac
    Pages 61-100

  4. Complementarity Problems as Mathematical Models

    • George Isac
    Pages 101-179

  5. Equivalences

    • George Isac
    Pages 181-211

  6. Topics on Solvability

    • George Isac
    Pages 213-364

  7. Topological Degree and Complementarity

    • George Isac
    Pages 365-404

  8. Zero-Epi Mappings and Copmlementarity

    • George Isac
    Pages 405-429

  9. Exceptional Family of Elements and Complementarity

    • George Isac
    Pages 431-496

  10. Conditions (S)+ and (S) + 1 : Applications to Complementarity Theory

    • George Isac
    Pages 497-530

  11. Fixed Points, Coincidence Equations on Cones and Complementarity

    • George Isac
    Pages 531-601

  12. Other Topological Results in Complementarity Theory

    • George Isac
    Pages 603-633

  13. Back Matter

    Pages 635-686
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Keywords

About this book

Complementarity theory is a new domain in applied mathematics and is concerned with the study of complementarity problems. These problems represent a wide class of mathematical models related to optimization, game theory, economic engineering, mechanics, fluid mechanics, stochastic optimal control etc. The book is dedicated to the study of nonlinear complementarity problems by topological methods.
Audience: Mathematicians, engineers, economists, specialists working in operations research and anybody interested in applied mathematics or in mathematical modeling.

Authors and Affiliations

  • Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Canada

    George Isac

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