Symmetricallyγ-Convex Functions

DOI10.1080/02331939908844442zbMath0943.26028OpenAlexW2025172596MaRDI QIDQ4944066

Nguyen Ngoc Hai, Hoang Xuan Phu

Publication date: 3 September 2000

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939908844442

zbMATH Keywords

generalized convexity\(\gamma\)-convex function

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25) Calculus of functions on infinite-dimensional spaces (26E15)

Related Items (6)

Some properties of boundedly perturbed strictly convex quadratic functions ⋮ Outer Γ-Convexity in Vector Spaces ⋮ Characterizations of \(r\)-convex functions ⋮ δ-Convexity in Normed Linear Spaces ⋮ Some analytical properties of \(\gamma\)-convex functions in normed linear spaces ⋮ Inner \(\gamma\)-convex functions in normed linear spaces

Cites Work

• Six kinds of roughly convex functions
• \(\gamma\)-subdifferential and \(\gamma\)-convexity of functions on a normed space
• \(\gamma\)-subdifferential and \(\gamma\)-convexity of functions on the real line
• Some analytical properties of \(\gamma\)-convex functions on the real line
• Optimization of Globally Convex Functions
• Local boundedness and continuity of generalized convex functions
• Some properties of globally δ-convex functions^∗
• Convex Analysis

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