Abstract convexity of positively homogeneous functions
A. Rubinov, Zari A. Dzalilov · Journal of Statistics and Management Systems · 2002
This paper is a survey of recent results to abstract convexity of positively homogeneous functions, that is, to a representation of such functions as the upper (lower) envelope of sets of fairly simple functions. In particular, we study sup-min and max-min representations of positively homogeneous of degree one functions through linear functions and various kinds of the so-called exhausters.