Convexity-preserving properties of set-valued ratios of affine functions.

Autor: Orzan, Alexandru, Popovici, Nicolae
Zdroj: Studia Universitatis Babeş-Bolyai, Mathematica; Sep2021, Vol. 66 Issue 3, p591-602, 12p
Abstrakt: The aim of this paper is to introduce some classes of set-valued functions that preserve the convexity of sets by direct and inverse images. In particular, we show that the so-called set-valued ratios of affine functions represent such a class. To this aim, we characterize them in terms of vector-valued selections that are ratios of affine functions in the classical sense of Rothblum. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index