Nonlinear Programming Techniques for Equilibria
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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
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