Abstract convexity of extended real-valued ICR functions

DOI10.1080/02331934.2012.741127zbMath1272.26006OpenAlexW2045731013MaRDI QIDQ2841160

M. Daryaei, Hossein Mohebi

Publication date: 24 July 2013

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2012.741127

zbMATH Keywords

subdifferentialradiant setabstract convexitymonotonic analysissupport setICR functionco-radiant set

Mathematics Subject Classification ID

Monotonic functions, generalizations (26A48) Convexity of real functions of several variables, generalizations (26B25)

Related Items (8)

Abstract concavity of increasing co-radiant and quasi-concave functions with applications in mathematical economics ⋮ Global optimization of the difference of two increasing plus-convex-along-rays functions ⋮ Zero duality gap conditions via abstract convexity ⋮ On duality for nonconvex minimization problems within the framework of abstract convexity ⋮ Minimizing the Difference of Dual Functions of Two Coradiant Functions ⋮ Unnamed Item ⋮ Global minimization of the difference of strictly non-positive valued affine ICR functions ⋮ Characterizations of Maximal Elements for Extended Real Valued Increasing and Co-Radiant Functions

Cites Work

• Monotonic analysis over ordered topological vector spaces. IV
• Increasing quasiconcave co-radiant functions with applications in mathematical economics
• Increasing convex-along-rays functions with applications to global optimization
• Monotonic analysis over ordered topological vector spaces: II
• Quasiconvex duality theory by generalized conjugation methods
• Monotonic analysis over cones: II
• Optimality and Duality for Invex Nonsmooth Multiobjective programming problems
• Monotonic analysis over ordered topological vector spaces: I

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