Preface. Part I: Generalized Convexity. 1. Are Generalized Derivatives Useful for Generalized Convex Functions? J.-P. Penot. 2. Stochastic Programs with Chance Constraints: Generalized Convexity and Approximation Issues; R.J.-B. Wets. 3. Error Bounds for Convex Inequality Systems; A.S. Lewis, Jong-Shi Pang. 4. Applying Generalised Convexity Notions to Jets; A. Eberhard, et al. 5. Quasiconvexity via Two Step Functions; A.M. Rubinov, B.M. Glover. 6. On Limiting Frechet epsilon-Subdifferentials; A. Jourani, M. Thera. 7. Convexity Space with Respect to a Given Set; L. Blaga, L. Lupsa. 8. A Convexity Condition for the Nonexistence of Some Antiproximinal Sets in the Space of Integrable Functions; A.-M. Precupanu. 9. Characterizations of rho-Convex Functions; M. Castellani, M. Pappalardo. Part II: Generalized Monotonicity. 10. Characterizations of Generalized Convexity and Generalized Monotonicity, a Survey; J.-P. Crouzeix. 11. Quasimonotonicity and Pseudomonotonicity in Variational Inequalities and Equilibrium Problems; N. Hadjisavvas, S. Schaible. 12. On the Scalarization of Pseudoconcavity and Pseudomonotonicity Concepts for Vector Valued Functions; R. Cambini, S. Komlosi. 13. Variational Inequalities and Pseudomonotone Functions: Some Characterizations; R. John. Part III: Optimality Conditions and Duality. 14. Simplified Global Optimality Conditions in Generalized Conjugation Theory; F. Flores-Bazan, J.-E. Martinez-Legaz. 15. Duality in DC Programming; B. Lemaire, M.Volle. 16. Recent Developments in Second Order Necessary Optimality Conditions; A. Cambini, et al. 17. Higher Order Invexity and Duality in Mathematical Programming; B. Mond, J. Zhang. 18. Fenchel Duality in Generalized Fractional Programming; C.R. Bector, et al. Part IV: Vector Optimization. 19. The Notion of Invexity in Vector Optimization: Smooth and Nonsmooth Case; G. Giorgi, A. Guerraggio. 20. Quasiconcavity of Sets and Connectedness of the Efficient Frontier in Ordered Vector Spaces; E. Molho, A. Zaffaroni. 21. Multiobjective Quadratic Problem: Characterization of the Efficient Points; A. Beato-Moreno, et al. 22. Generalized Concavity for Bicriteria Functions; R. Cambini. 23. Generalized Concavity in Multiobjective Programming; A. Cambini, L. Martein.