A collection of 28 refereed papers grouped according to four broad topics: duality and optimality conditions, optimization algorithms, optimal control, and variational inequality and equilibrium problems. Suitable for researchers, practitioners and postgrads.

Preface ¿ Biographical Sketch of Elijah Polak ¿ Publications of Elijah Polak ¿ PART I. DUALITY AND OPTIMALITY CONDITIONS ¿ Chapter 1. On Minimization of Max-Min Functions ¿ Chapter 2. A Comparison of Two Approaches to Second-Order Subdifferentiability Concepts with Application to Optimality Conditions ¿ Chapter 3. Duality and Exact Penalization via a Generalized Augmented Lagrangian Function ¿ Chapter 4. Duality for Semi-Definite and Semi-Infinite Programming with Equality Constraints ¿ Chapter 5. The Use of Nonsmooth Analysis and of Duality Methods for the Study of Hamilton-Jacobi Equations ¿ Chapter 6. Some Classes of Abstract Convex Functions ¿ PART II. OPTIMIZATION ALGORITHMS ¿ Chapter 7. An Implementation of Training Dual-nu Support Vector Machines ¿ Chapter 8. An Analysis of the Barzilai and Borwein Gradient Method for Unsymmetric Linear Equations ¿ Chapter 9. An Exchange Algorithm for Minimizing Sum-Min Functions ¿ Chapter 10. On the Barzlai-Borwein Method ¿ Chapter 11. The Modified Subgradient Method for Equality Constrained Nonconvex Optimization Problems ¿ Chapter 12. Inexact Restoration Methods for Nonlinear Programming: Advances and Perspectives ¿ Chapter 13. Quantum Algorithm for Continuous Global Optimization ¿ Chapter 14. SQP Versus SCP Methods for Nonlinear Programming ¿ Chapter 15. An Approximation Approach for Linear Programming in Measure Space ¿ PART III. OPTIMAL CONTROL ¿ Chapter 16. Optimal Control of Nonlinear Systems ¿ Chapter 17. Proximal-Like Methods for Convex Minimization Problems ¿ Chapter 18. Analysis of Two Dimensional Nonconvex Variational Problems ¿ Chapter 19. Stability of Equilibrium Points of Projected Dynamical Systems ¿ Chapter 20. On a Quasi-Consistent Approximations Approach to Optimization Problems with Two Numerical Precision Parameters ¿ Chapter 21. Numerical Solutions of Optimal Switching Control Problems ¿ Chapter 22. A Solution to Hamilton-Jacobi Equation by NeuralNetworks and Optimal State Feedback Control ¿ Chapter 23. H(infinity) Control Based on State Observer for Descriptor Systems ¿ PART IV. VARIATIONAL INEQUALITY AND EQUILIBRIUM ¿ Chapter 24. Decomposable Generalized Vector Variational Inequalities ¿ Chapter 25. On a Geometric Lemma and Set-Valued Vector Equilibrium Problem ¿ Chapter 26. Equilibrium Problems ¿ Chapter 27. Gap Functions and Descent Methods for Minty Variational Inequality ¿ Chapter 28. A New Class of Proximal Algorithms for the Nonlinear Complementary Problem