Generalized midconvexity
Volume 99 / 2013
Banach Center Publications 99 (2013), 207-215
MSC: Primary 26A51, 39B62; Secondary 26B25.
DOI: 10.4064/bc99-0-13
Abstract
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.
