## Generalized convexity and fractional programming with economic applications: proceedings of the International Workshop on "Generalized Concavity, Fractional Programming, and Economic Applications" held at the University of Pisa, Italy, May 30-June 1, 1988 |

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### Contents

Introduction to generalized convexity | 2 |

Projectivelyconvex models in economics | 23 |

Convex directional derivatives in optimization | 36 |

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17 other sections not shown

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algorithm analysis Applications approximation assume assumption axioms Cambini complete lattices concave functions consider constraints convex conjugate convex functions convex set Corollary Crouzeix Cutting Plane Definition denotes differentiable Dini derivatives dual duality theorem Economics efficient points equation equivalent exists feasible region Fenchel conjugation Ferland J.A. finite fj(x fractional programming problem function f given Haar condition Hence holds implies inequality Lemma Let f lim sup linear fractional problem linear fractional programming linear programming lower semicontinuous Management Science Martein Martos Mathematical Programming maximal minimum-risk solution multiobjective nonempty Nonlinear Programming objective function obtain Operations Research optimal solution optimality conditions optimization problems Optimization Theory P-convex parametric polarity Proof properties Proposition pseudoconcave pseudoconvex quadratic quasiconcave functions quasiconvex rate of convergence real number satisfy Schaible semicontinuous sequence sequential solving subset Theorem vector