Quadratic Programming and Affine Variational Inequalities: A Qualitative Study

Preface
Notations and Abbreviations
1. Quadratic Programming Problems
2. Existence Theorems for Quadratic Programs
3. Necessary and Sufficient Optimality Conditions for Quadratic Programs
4. Properties of the Solution Sets of Quadratic Programs
5. Affine Variational Inequalities
6. Solution Existence for Affine Variational Inequalities
7. Upper-Lipschitz Continuity of the Solution Map in Affine Variational Inequalities
8. Linear Fractional Vector Optimization Problems
9. The Traffic Equilibrium Problem
10. Upper Semicontinuity of the KKT Point Set Mapping
11. Lower Semicontinuity of the KKT Point Set Mapping
12. Continuity of the Solution Map in Quadratic Programming
13. Continuity of the Optimal Value Function in Quadratic Programming
14. Directional Differentiability of the Optimal Value Function
15. Quadratic Programming Under Linear Perturbations: I. Continuity of the Solution Maps
16. Quadratic Programming Under Linear Perturbations: II. Properties of the Optimal Value Function
17. Quadratic Programming Under Linear Perturbations: III. The Convex Case
18. Continuity of the Solution Map in Affine Variational Inequalities
References
Index