| Preface | p. xiii |
| On the numerical solution of finite-dimensional variational inequalities by an interior point method | p. 1 |
| Introduction | p. 2 |
| The IIPVI-method | p. 4 |
| Algorithmic issues | p. 6 |
| Numerical experiments | p. 11 |
| Conclusions and perspectives | p. 20 |
| References | p. 20 |
| Fixed points in ordered Banach spaces and applications to elliptic boundary-value problems | p. 25 |
| Introduction | p. 25 |
| Fixed points of increasing functions | p. 26 |
| Elliptic problems with discontinuous nonlinearities | p. 28 |
| References | p. 31 |
| A theorem of the alternative for linear control systems | p. 33 |
| Introduction | p. 33 |
| The proof of theorem 1.4 | p. 37 |
| References | p. 41 |
| Variational inequalities for static equilibrium market. Lagrangean function and duality | p. 43 |
| Introduction | p. 43 |
| Proof of theorem 1.2 | p. 48 |
| Proof of theorem 1.3 | p. 49 |
| Calculation of the equilibrium | p. 53 |
| Example | p. 55 |
| References | p. 57 |
| On dynamical equilibrium problems and variational inequalities | p. 59 |
| Introduction | p. 60 |
| A static market model | p. 60 |
| The time-dependent market model | p. 64 |
| Existence of equilibria | p. 67 |
| References | p. 69 |
| Nonlinear programming methods for solving optimal control problems | p. 71 |
| Introduction | p. 72 |
| Framework of the method | p. 74 |
| Choice of the parameters | p. 77 |
| A global algorithm | p. 82 |
| Computational experience | p. 84 |
| Optimal in-stream aeration | p. 84 |
| Diffusion convection processes | p. 91 |
| Numerical results | p. 96 |
| References | p. 98 |
| Optimal flow pattern in road networks | p. 101 |
| Introduction | p. 101 |
| The traditional theory of system optimization | p. 103 |
| A new theory of optimal flow pattern | p. 107 |
| Calculation of the optimal toll vector | p. 111 |
| An application to the real case | p. 113 |
| Conclusions | p. 116 |
| References | p. 117 |
| On the storng solvability of a unilateral boundary value problem for nolinear discontinuos operators in the plane | p. 119 |
| Introduction | p. 120 |
| Basic assumptions and main results | p. 121 |
| Preliminary results | p. 122 |
| Proof of the theorems | p. 123 |
| References | p. 127 |
| Most likely traffic equilibrium route flows analysis and computation | p. 129 |
| Introduction | p. 130 |
| Illustrative examples and applications | p. 130 |
| Illustrative examples | p. 130 |
| Applications | p. 131 |
| Most likely equilibrium flows | p. 137 |
| Preliminaries | p. 137 |
| An alternative derivation | p. 139 |
| Solution procedure for the entropy program | p. 141 |
| Experimental results | p. 144 |
| The Sioux Falls network | p. 146 |
| The Winnipeg network | p. 147 |
| The Linkoping network | p. 149 |
| An application: Exhaust fume emission analysis | p. 151 |
| Relation between the stochastic user equilibrium and the most likely route flows | p. 152 |
| Relation between the models for finding the most likely O-D link flows and the most likely route flows | p. 153 |
| References | p. 157 |
| Existence of solutions to bilevel variational problems in Banach spaces | p. 161 |
| Introduction | p. 161 |
| A general existence result | p. 164 |
| Monotone case | p. 166 |
| Pseudomonotone case | p. 168 |
| Open problems | p. 171 |
| References | p. 172 |
| On the existence of solutions to vector optimization problems | p. 175 |
| Introduction | p. 175 |
| Image space and separation | p. 176 |
| Existence of a vector minimum point | p. 179 |
| About the cone-compactness | p. 181 |
| References | p. 184 |
| Equilibrium problems and variational inequalities | p. 187 |
| Introduction | p. 187 |
| The Signorini problem | p. 188 |
| The obstacle problem | p. 195 |
| A continuous model of transportation | p. 198 |
| References | p. 203 |
| Axiomatization for approximate solutions in optimization | p. 207 |
| Introduction | p. 207 |
| Optimization problems | p. 210 |
| Axioms | p. 211 |
| Characterizations of solutions | p. 214 |
| Vector optimization | p. 217 |
| Approximation with sequences | p. 218 |
| References | p. 220 |
| Necessary and sufficient conditions of Wardrop type for vectorial traffic equilibria | p. 223 |
| Introduction | p. 223 |
| The scalar case | p. 224 |
| The vectorial case | p. 225 |
| Results | p. 226 |
| References | p. 228 |
| Approximate solutions and Tikhonov well-posedness for Nash equilibria | p. 231 |
| Introduction | p. 231 |
| T-wp for Nash equilibria | p. 233 |
| A new approach to Tikhonov well-posedness for Nash equilibria | p. 235 |
| Ordinality of T[superscript v]-wp | p. 237 |
| Metric characterization of T[superscript v]-wp | p. 239 |
| An application: oligopoly models | p. 241 |
| Open problems | p. 243 |
| References | p. 244 |
| Equilibrium in time dependent traffic networks with delay | p. 247 |
| Introduction | p. 247 |
| The model | p. 249 |
| Existence of Equilibria | p. 251 |
| An example | p. 252 |
| References | p. 253 |
| New results on local minima and their applications | p. 255 |
| References | p. 267 |
| An overview on projection-type methods for convex large-scale quadratic programs | p. 269 |
| Introduction | p. 270 |
| The projection and splitting methods | p. 272 |
| The variable projection method | p. 277 |
| The adaptive variable projection method | p. 284 |
| Updating rules for the projection parameter | p. 287 |
| Solution of ineer QP subproblems | p. 289 |
| Computational experiments | p. 291 |
| References | p. 297 |
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