About differentiability of order one of quasiconvex functions on \(R^ n\).

DOI10.1007/BF00934352zbMath0452.90055MaRDI QIDQ1148797

Jean-Pierre Crouzeix

Publication date: 1982

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

differentiabilitygeneralized convexityquasiconvex functionsdirectional derivativesquasidifferentiabilityGateaux-differentiabilityFrechet-differentiability

Mathematics Subject Classification ID

Convex programming (90C25) Continuity and differentiation questions (26B05) Convexity of real functions of several variables, generalizations (26B25)

Related Items

On quasiconvex functions which are convexifiable or not ⋮ Weak lower subdifferentials and applications ⋮ Characterization of the weakly efficient solutions in nonsmooth quasiconvex multiobjective optimization ⋮ Necessary and sufficient conditions for some constraint qualifications in quasiconvex programming ⋮ Quasiconvex duality theory by generalized conjugation methods ⋮ What is quasiconvex analysis? ⋮ Variational subdifferential for quasiconvex functions ⋮ Quasiconvex first-order approximations and Kuhn-Tucker type optimality conditions

Cites Work

• Conditions for Convexity of Quasiconvex Functions
• Fractional programming without differentiability
• Convex Analysis