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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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.
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