Some properties of globally δ-convex functions∗

DOI10.1080/02331939508844125zbMath0839.90092OpenAlexW2047402789MaRDI QIDQ4859818

Hoang Xuan Phu

Publication date: 23 June 1996

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939508844125

zbMATH Keywords

generalized convexityboundedness\(\delta\)-convex functions\(r\)-extreme points\(r\)-local minimumroughly convex

Mathematics Subject Classification ID

Convex programming (90C25) Convexity of real functions of several variables, generalizations (26B25)

Related Items (8)

Six kinds of roughly convex functions ⋮ Piecewise constant roughly convex functions ⋮ Characterizations of \(r\)-convex functions ⋮ δ-Convexity in Normed Linear Spaces ⋮ Symmetrically_γ-Convex Functions ⋮ What is quasiconvex analysis? ⋮ Nonemptiness of Approximate Subdifferentials of Midpoint δ-Convex Functions ⋮ Some analytical properties of \(\gamma\)-convex functions in normed linear spaces

Cites Work

• Characterization of generalized monotone maps
• Seven kinds of monotone maps
• \(\gamma\)-subdifferential and \(\gamma\)-convexity of functions on a normed space
• \(\gamma\)-subdifferential and \(\gamma\)-convexity of functions on the real line
• On generalized convex functions
• Generalized convexities of lower semicontinuous functions
• Invex functions and constrained local minima
• Optimization of Globally Convex Functions
• Representation of Bounded Convex Sets By Rational Convex Hull Of Its Gamma-Extreme Points
• Local boundedness and continuity of generalized convex functions
• Convex Analysis

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