A systematization of convexity concepts for sets and functions.
Breckner, Wolfgang W., Kassay, Gábor (1997)
Journal of Convex Analysis
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Breckner, Wolfgang W., Kassay, Gábor (1997)
Journal of Convex Analysis
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Jacek Tabor, Józef Tabor, Krzysztof Misztal (2013)
Banach Center Publications
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There are many types of midconvexities, for example Jensen convexity, t-convexity, (s,t)-convexity. We provide a uniform framework for all the above mentioned midconvexities by considering a generalized middle-point map on an abstract space X. We show that we can define and study the basic convexity properties in this setting.
Liangpan Li, Oliver Roche-Newton (2012)
Acta Arithmetica
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Brzezina, Miroslav (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Krzysztof Kołodziejczyk (1985)
Compositio Mathematica
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H. J. Borchers (1976)
Recherche Coopérative sur Programme n°25
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Gerard Sierksma (1980)
Compositio Mathematica
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Aussel, Didier, Corvellec, Jean-Noël, Lassonde, Marc (1994)
Journal of Convex Analysis
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Juan C. Bressan, Fausto A. Toranzos (1992)
Compositio Mathematica
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Pavlović, Miroslav (1988)
Publications de l'Institut Mathématique. Nouvelle Série
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D. R. Heath-Brown (2009)
Acta Arithmetica
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