Geodesic
K-subquadratic set-valued functions
Commentationes Mathematicae, Tome 54 (2014) no. 2, pp. 147-157.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

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.
DOI : 10.14708/cm.v54i2.697
Mots-clés : subquadratic set-valued functions, superquadratic set-valued functions, regularity theorem, set-valued functions 
@article{10_14708_cm_v54i2_697,
     author = {Katarzyna Troczka-Pawelec},
     title = {K-subquadratic set-valued functions},
     journal = {Commentationes Mathematicae},
     pages = { 147--157},
     publisher = {mathdoc},
     volume = {54},
     number = {2},
     year = {2014},
     doi = {10.14708/cm.v54i2.697},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.14708/cm.v54i2.697/}
}
TY  - JOUR
AU  - Katarzyna Troczka-Pawelec
TI  - K-subquadratic set-valued functions
JO  - Commentationes Mathematicae
PY  - 2014
SP  -  147
EP  - 157
VL  - 54
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14708/cm.v54i2.697/
DO  - 10.14708/cm.v54i2.697
LA  - pl
ID  - 10_14708_cm_v54i2_697
ER  - 
%0 Journal Article
%A Katarzyna Troczka-Pawelec
%T K-subquadratic set-valued functions
%J Commentationes Mathematicae
%D 2014
%P  147-157
%V 54
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14708/cm.v54i2.697/
%R 10.14708/cm.v54i2.697
%G pl
%F 10_14708_cm_v54i2_697
Katarzyna Troczka-Pawelec. K-subquadratic set-valued functions. Commentationes Mathematicae, Tome 54 (2014) no. 2, pp.  147-157. doi : 10.14708/cm.v54i2.697. http://geodesic.mathdoc.fr/articles/10.14708/cm.v54i2.697/

Cité par Sources :