Generalized Convexity, Generalized Monotonicity: Recent Results

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.