K-subquadratic set-valued functions

Katarzyna Troczka-Pawelec. "K-subquadratic set-valued functions." Commentationes Mathematicae 54.2 (2014): null. <http://eudml.org/doc/292505>.

@article{KatarzynaTroczka2014,
abstract = {Let $X=(X,+)$ be an arbitrary topological group. The aim of the paper is to prove a regularity theorem for K-subquadratic set-valued functions, that is, solutions of the inclusion \[ 2F(s)+2F(t)\subset F(s+t)+F(s-t)+K, \quad s,t\in X, \] with values in a topological vector space and where $K$ is a cone in this space.},
author = {Katarzyna Troczka-Pawelec},
journal = {Commentationes Mathematicae},
keywords = {subquadratic set-valued functions; superquadratic set-valued functions; regularity theorem; set-valued functions},
language = {eng},
number = {2},
pages = {null},
title = {K-subquadratic set-valued functions},
url = {http://eudml.org/doc/292505},
volume = {54},
year = {2014},
}

TY - JOUR
AU - Katarzyna Troczka-Pawelec
TI - K-subquadratic set-valued functions
JO - Commentationes Mathematicae
PY - 2014
VL - 54
IS - 2
SP - null
AB - Let $X=(X,+)$ be an arbitrary topological group. The aim of the paper is to prove a regularity theorem for K-subquadratic set-valued functions, that is, solutions of the inclusion \[ 2F(s)+2F(t)\subset F(s+t)+F(s-t)+K, \quad s,t\in X, \] with values in a topological vector space and where $K$ is a cone in this space.
LA - eng
KW - subquadratic set-valued functions; superquadratic set-valued functions; regularity theorem; set-valued functions
UR - http://eudml.org/doc/292505
ER -