Author | Isac, George. author |
---|---|

Title | Topological Methods in Complementarity Theory [electronic resource] / by George Isac |

Imprint | Boston, MA : Springer US : Imprint: Springer, 2000 |

Connect to | http://dx.doi.org/10.1007/978-1-4757-3141-5 |

Descript | XIII, 686 p. 1 illus. online resource |

SUMMARY

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

1 Convex Cones -- 2 Complementarity Problems. Origin and Definitions -- 3 Complementarity Problems 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 -- Bibliography (Complementarity problems) -- Glossary of Notation

Mathematics
Game theory
Mathematical models
Mathematical optimization
Calculus of variations
Economic theory
Mathematics
Optimization
Mathematical Modeling and Industrial Mathematics
Economic Theory/Quantitative Economics/Mathematical Methods
Calculus of Variations and Optimal Control; Optimization
Game Theory Economics Social and Behav. Sciences