Six kinds of roughly convex functions
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Publication:1367807
DOI10.1023/A:1022611314673zbMath0886.90178MaRDI QIDQ1367807
Publication date: 19 April 1998
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
continuitydifferentiabilitygeneralized convexityboundedness\(\delta\)-convex functions\(\gamma\)-convex functions\(\rho\)-convex functionslightly \(\gamma\)-convex functionsmidpoint \(\delta\)-convex functionsmidpoint \(\gamma\)-convex functionsroughly convex functions
Nonsmooth analysis (49J52) Programming in abstract spaces (90C48) Convexity of real functions of several variables, generalizations (26B25)
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Cites Work
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- Characterization of generalized monotone maps
- Generalized B-vex functions and generalized B-vex programming
- \(\gamma\)-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
- On generalized convex functions
- Discrete and nondlscrete quasi eon vexlike functions and single-peakedness (unimodality)
- 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
- Some properties of globally δ-convex functions∗
- Convex Analysis
