Title | Generalized Convexity and Generalized Monotonicity [electronic resource] : Proceedings of the 6th International Symposium on Generalized Convexity/Monotonicity, Samos, September 1999 / edited by Nicolas Hadjisavvas, Juan Enrique Martรญnez-Legaz, Jean-Paul Penot |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001 |

Connect to | http://dx.doi.org/10.1007/978-3-642-56645-5 |

Descript | IX, 410 p. 2 illus., 1 illus. in color. online resource |

CONTENT

Invited Papers -- Minimization of the Sum of Several Linear Fractional Functions -- Discrete Higher Order Convex Functions and their Applications -- Cuts and Semidefinite Relaxations for Nonconvex Quadratic Problems -- Contributed Papers -- The Steiner Ratio of L3p -- Normal Cones to Sublevel Sets: An Axiomatic Approach. Applications in Quasiconvexity and Pseudoconvexity -- Multiobjective Programming with ?-convex Functions -- Rufiรกn-Lizana, Pascual Ruiz-Canales Vector Invex N-set Functions and Minmax Programming -- On the Supremum in Quadratic Fractional Programming -- First and Second Order Characterizations of a Class of Pseudoconcave Vector Functions -- New Invexity-Type Conditions in Constrained Optimization -- Stochastic s-(increasing) Convexity -- Fixed Point Theorems, Coincidence Theorems and Variational Inequalities -- Representation of a Polynomial Function as a Difference of Convex Polynomials, with an Application -- Proper Efficiency and Generalized Convexity in Nonsmooth Vector Optimization Problems -- Duality for Fractional Min-max Problems Involving Arcwise Connected and Generalized Arcwise Connected Functions -- Generalized Convexity for Unbounded Sets: The Enlarged Space -- A Note on Minty Variational Inequalities and Generalized Monotonicity -- On Vector Equilibrium and Vector Variational Inequality Problems -- Stochastic Orders Generated by Generalized Convex Functions -- Separation Theorems for Convex Sets and Convex Functions with Invariance Properties -- Convexity and Generalized Convexity Methods for the Study of Hamilton-Jacobi Equations -- Higher-order Monotone Functions and Probability Theory -- Convexity and Decomposability in Multivalued Analysis -- Scalar Characterization of Generalized Quasiconvex Functions -- Optimality and Wolfe Duality for Multiobjective Programming Problems Involving?-set Functions -- Vector Stochastic Optimization Problems -- On Suprema of Abstract Convex and Quasi-convex Hulls -- Specific Numerical Methods for Solving Some Special Max-min Programming Problems Involving Generalized Convex Functions

Mathematics
Operations research
Decision making
Mathematical optimization
Calculus of variations
Mathematics
Optimization
Operation Research/Decision Theory
Calculus of Variations and Optimal Control; Optimization