TY - JOUR
AU - A. Cabot
AU - A. Jourani
AU - L. Thibault
AU - D. Zagrodny
PY - 2019/06/17
Y2 - 2019/07/23
TI - The attainment set of the $\varphi$-envelope and genericity properties
JF - MATHEMATICA SCANDINAVICA
JA - MathScand
VL - 124
IS - 2
SE - Articles
DO - 10.7146/math.scand.a-110766
UR - https://www.mscand.dk/article/view/110766
AB - The attainment set of the $\varphi$-envelope of a function at a given point is investigated. The inclusion of the attainment set of the $\varphi$-envelope of the closed convex hull of a function into the attainment set of the function is preserved in sufficiently general settings to encompass the case $\varphi$ being a norm in a power not less than $1$. The non-emptiness of the attainment set is guaranteed on generic subsets of a given space, in several fundamental cases.
ER -