F-Convexity of Real Functions

Let F be a family of sets in Rd. A set M⊂Rd is called F-convex if for any points x,y∈M there is a set F∈F such that x,y∈F and F⊂M. A function f:R→R is called F-convex if its epigraph is F-convex. In this paper we investigate various F-convexities for real functions

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Publication Details

Journal
Journal of convex analysis
Published
2026-09-25
DOI
https://doi.org/10.68381/jca34002
Primary Topic
Optimization and Variational Analysis
Type
article
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F-Convexity of Real Functions

Liping Yuan, Tudor Zamfirescu
Journal of convex analysis
Optimization and Variational Analysis
article

F-Convexity of Real Functions

Liping Yuan, Tudor Zamfirescu
article en

Abstract

Let F be a family of sets in Rd. A set M⊂Rd is called F-convex if for any points x,y∈M there is a set F∈F such that x,y∈F and F⊂M. A function f:R→R is called F-convex if its epigraph is F-convex. In this paper we investigate various F-convexities for real functions

Journal of convex analysisVol. 34(1)
Hebei Medical University (CN), TU Dortmund University (DE), Romanian Academy (RO), Hebei Normal University (CN)
Openalex Percentile: Top 10%
Optimization and Variational Analysis
DOISourceOpenAlex
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