Topological Methods in Complementarity Theory

Topological Methods in Complementarity Theory

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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.
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Product details

  • Hardback | 686 pages
  • 166 x 244 x 44mm | 1,220.16g
  • Dordrecht, Netherlands
  • English
  • 2000 ed.
  • 1 Illustrations, black and white; XIII, 686 p. 1 illus.
  • 0792362748
  • 9780792362746

Table of contents

Preface. 1. Convex Cones. 2. Complementarity Problems. Origin and Definitions. 3. Complementarity Problem as Mathematical Models. 4. Equivalences. 5. Topics on Solvability. 6. Topological Degree and Complementarity. 7. Zero-epi Mappings and Complementarity. 8. Exceptional Family of Elements and Complementarity. 9. Conditions (S)+ and (S)1+: Applications to Complementarity Theory. 10. Fixed Points, Coincidence Equations on Cones and Complementarity. 11. Other Topological Results in Complementarity Theory. References. Bibliography (Complementarity problems). Glossary of Notation. Index.
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