Nonlinear Programming Techniques for Equilibria

Preface......Page 3
Contents......Page 5
Obstacle Problem......Page 7
Power Control in Wireless......Page 9
Traffic Network......Page 10
Portfolio Selection......Page 12
Optimal Production under Restricted Resources......Page 13
IO Analysis in Economy......Page 14
Quality Control in Production Systems......Page 16
Complementarity Problems......Page 17
Variational Inequality......Page 18
Weak Pareto Optimization......Page 19
Fixed Point......Page 20
Inverse Optimization......Page 21
Notes & Refs......Page 22
Convexity & Monotonicity......Page 23
Equivalent Reformulations......Page 30
Existence......Page 37
Stability......Page 45
Error Bounds......Page 49
Notes & Refs......Page 53
Fixed-Point & Extragradient Methods......Page 57
Descent Methods......Page 65
Gap Functions......Page 67
D-Gap Functions......Page 68
Regularization Methods......Page 71
Parameters' Calibration......Page 74
Notes & Refs......Page 75
Applications......Page 78
Traffic Networks & Quasi-Variational Inequalities......Page 79
Theory......Page 80
Fixed-Point & Extragradient Methods......Page 85
Descent Methods......Page 92
Notes & Refs......Page 101
Topological Concepts......Page 103
Functions......Page 107
Multivalued Maps......Page 112
Refs......Page 117
Index......Page 123