Abstract concavity of increasing co-radiant and quasi-concave functions with applications in mathematical economics

DOI10.1007/s10957-016-0901-6zbMath1342.26026OpenAlexW2288818905MaRDI QIDQ289117

S. Mirzadeh, Hossein Mohebi

Publication date: 27 May 2016

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

Full work available at URL: https://doi.org/10.1007/s10957-016-0901-6

zbMATH Keywords

dualityproduction functionabstract convexityabstract concavityco-radiant functionincreasing functionquasi-concave functionsuperdifferentialupper semi-continuous functionupper support set

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Monotonic functions, generalizations (26A48) Convexity of real functions of several variables, generalizations (26B25)

Related Items (5)

Global minimization of the difference of increasing co-radiant and quasi-concave functions ⋮ Characterizing approximate global minimizers of the difference of two abstract convex functions with applications ⋮ Characterizing global maximizers of the difference of sub-topical functions ⋮ Characterizations of minimal elements of topical functions on semimodules with applications ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quasiconjugates of functions, duality relationship between quasiconvex minimization under a reverse convex constraint and quasiconvex maximization under a convex constraint, and applications
• Monotonic analysis over ordered topological vector spaces. IV
• Generalized concavity
• Duality for radiant and shady programs
• Increasing quasiconcave co-radiant functions with applications in mathematical economics
• Increasing convex-along-rays functions with applications to global optimization
• On expenditure functions
• Duality between direct and indirect utility functions under minimal hypotheses
• Abstract convexity of extended real-valued ICR functions
• Conjugacy in quasi-convex programming
• Monotonic analysis over ordered topological vector spaces: II
• Quasiconvex duality theory by generalized conjugation methods
• Monotonic analysis over cones: II
• Monotonic Analysis over Cones: I
• Monotonic analysis over ordered topological vector spaces: I
• Convex Analysis
• On Quasi-Convex Duality
• Abstract convexity and global optimization

This page was built for publication: Abstract concavity of increasing co-radiant and quasi-concave functions with applications in mathematical economics