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Generalized Convexity and Generalized Monotonicity

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Cover of 'Generalized Convexity and Generalized Monotonicity'

Table of Contents

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    Book Overview
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    Chapter 1 Minimization of the Sum of Several Linear Fractional Functions
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    Chapter 2 Discrete Higher Order Convex Functions and their Applications
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    Chapter 3 Cuts and Semidefinite Relaxations for Nonconvex Quadratic Problems
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    Chapter 4 The Steiner Ratio of $$ \mathcal{L}_p^3 $$
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    Chapter 5 Normal Cones to Sublevel Sets: An Axiomatic Approach
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    Chapter 6 Multiobjective Programming with ρ -convex Functions
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    Chapter 7 Vector Invex N-set Functions and Minmax Programming
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    Chapter 8 On the Supremum in Quadratic Fractional Programming
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    Chapter 9 First and Second Order Characterizations of a Class of Pseudoconcave Vector Functions
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    Chapter 10 New Invexity-Type Conditions in Constrained Optimization
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    Chapter 11 Stochastic s -(increasing) Convexity
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    Chapter 12 Fixed Point Theorems, Coincidence Theorems and Variational Inequalities
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    Chapter 13 Representation of a Polynomial Function as a Difference of Convex Polynomials, with an Application
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    Chapter 14 Proper Efficiency and Generalized Convexity in Nonsmooth Vector Optimization Problems
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    Chapter 15 Duality for Fractional Min-max Problems Involving Arcwise Connected and Generalized Arcwise Connected Functions
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    Chapter 16 Generalized Convexity for Unbounded Sets: The Enlarged Space
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    Chapter 17 A Note on Minty Variational Inequalities and Generalized Monotonicity
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    Chapter 18 On Vector Equilibrium and Vector Variational Inequality Problems
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    Chapter 19 Stochastic Orders Generated by Generalized Convex Functions
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    Chapter 20 Separation Theorems for Convex Sets and Convex Functions with Invariance Properties
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    Chapter 21 Convexity and Generalized Convexity Methods for the Study of Hamilton-Jacobi Equations
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    Chapter 22 Higher-order Monotone Functions and Probability Theory
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    Chapter 23 Convexity and Decomposability in Multivalued Analysis
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    Chapter 24 Scalar Characterization of Generalized Quasiconvex Functions
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    Chapter 25 Optimality and Wolfe Duality for Multiobjective Programming Problems Involving n-set Functions
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    Chapter 26 Vector Stochastic Optimization Problems
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    Chapter 27 On Suprema of Abstract Convex and Quasi-convex Hulls
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    Chapter 28 Specific Numerical Methods for Solving Some Special Max-min Programming Problems Involving Generalized Convex Functions
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Title
Generalized Convexity and Generalized Monotonicity
Published by
Springer Berlin Heidelberg, December 2012
DOI 10.1007/978-3-642-56645-5
ISBNs
978-3-54-041806-1, 978-3-64-256645-5
Editors

Hadjisavvas, Nicolas, Martínez-Legaz, Juan Enrique, Penot, Jean-Paul