δ-Convexity in Normed Linear Spaces

DOI10.1081/NFA-200041716zbMath1071.26008WikidataQ57659453 ScholiaQ57659453MaRDI QIDQ4678758

Phan Thanh An, Nguyen Ngoc Hai

Publication date: 23 May 2005

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

zbMATH Keywords

generalized convexityboundednesslocal boundednessmaximumminimumrough convexity\(\delta\)-convexity

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Geometry and structure of normed linear spaces (46B20) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25)

Related Items (3)

Helly-Type Theorems for Roughly Convex-Like Sets ⋮ Some Computational Aspects of Geodesic Convex Sets in a Simple Polygon ⋮ Nonemptiness of Approximate Subdifferentials of Midpoint δ-Convex Functions

Cites Work

• Unnamed Item
• Six kinds of roughly convex functions
• Optimization of Globally Convex Functions
• Representation of Bounded Convex Sets By Rational Convex Hull Of Its Gamma-Extreme Points
• Some properties of globally δ-convex functions^∗
• Symmetrically_γ-Convex Functions

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