Ebook: Topological Methods in Complementarity Theory

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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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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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.
Content:
Front Matter....Pages I-XIII
Convex Cones....Pages 1-59
Complementarity Problems. Origins and Definitions....Pages 61-100
Complementarity Problems as Mathematical Models....Pages 101-179
Equivalences....Pages 181-211
Topics on Solvability....Pages 213-364
Topological Degree and Complementarity....Pages 365-404
Zero-Epi Mappings and Copmlementarity....Pages 405-429
Exceptional Family of Elements and Complementarity....Pages 431-496
Conditions (S)+ and (S) + 1 : Applications to Complementarity Theory....Pages 497-530
Fixed Points, Coincidence Equations on Cones and Complementarity....Pages 531-601
Other Topological Results in Complementarity Theory....Pages 603-633
Back Matter....Pages 635-686

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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.
Content:
Front Matter....Pages I-XIII
Convex Cones....Pages 1-59
Complementarity Problems. Origins and Definitions....Pages 61-100
Complementarity Problems as Mathematical Models....Pages 101-179
Equivalences....Pages 181-211
Topics on Solvability....Pages 213-364
Topological Degree and Complementarity....Pages 365-404
Zero-Epi Mappings and Copmlementarity....Pages 405-429
Exceptional Family of Elements and Complementarity....Pages 431-496
Conditions (S)+ and (S) + 1 : Applications to Complementarity Theory....Pages 497-530
Fixed Points, Coincidence Equations on Cones and Complementarity....Pages 531-601
Other Topological Results in Complementarity Theory....Pages 603-633
Back Matter....Pages 635-686
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