Title | Generalized Convexity, Generalized Monotonicity: Recent Results [electronic resource] / edited by Jean-Pierre Crouzeix, Juan-Enrique Martinez-Legaz, Michel Volle |
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Imprint | Boston, MA : Springer US, 1998 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-3341-8 |
Descript | XVI, 471 p. online resource |
I Generalized Convexity -- 1 Are Generalized Derivatives Useful for Generalized Convex Functions? -- 2 Stochastic Programs with Chance Constraints: Generalized Convexity and Approximation Issues -- 3 Error Bounds for Convex Inequality Systems -- 4 Applying Generalised Convexity Notions to Jets -- 5 Quasiconvexity via Two Step Functions -- 6 On Limiting Frรฉchet ?-Subdifferentials -- 7 Convexity Space with Respect to a Given Set -- 8 A Convexity Condition for the Nonexistence of Some Antiproximinal Sets in the Space of Integrable Functions -- 9 Characterizations of ?-Convex Funtions -- II Generalized Monotonicity -- 10 Characterizations of Generalized Convexity and Generalized Monotonicity, A Survey -- 11 Quasimonotonicity and Pseudomonotonicity in Variational Inequalities and Equilibrium Problems -- 12 On the Scalarization of Pseudoconcavity and Pseudomonotonicity Concepts for Vector Valued Functions -- 13 Variational Inequalities and Pseudomonotone Functions: Some Characterizations -- III Optimality Conditions and Duality -- 14 Simplified Global Optimality Conditions in Generalized Conjugation Theory -- 15 Duality in DC Programming -- 16 Recent Developments in Second Order Necessary Optimality Conditions -- 17 Higher Order Invexity and Duality in Mathematical Programming -- 18 Fenchel Duality in Generalized Fractional Programming -- IV Vector Optimization -- 19 The Notion of Invexity in Vector Optimization: Smooth and Nonsmooth Case -- 20 Quasiconcavity of Sets and Connectedness of the Efficient Frontier in Ordered Vector Spaces -- 21 Multiobjective Quadratic Problem: Characterization of the Efficient Points -- 22 Generalized Concavity for Bicriteria Functions -- 23 Generalized Concavity in Multiobjective Programming