Geodesic
Some results on stability and on characterization of K-convexity of set-valued functions
Annales Polonici Mathematici, Tome 58 (1993) no. 2, pp. 185-192.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We present a stability theorem of Ulam-Hyers type for K-convex set-valued functions, and prove that a set-valued function is K-convex if and only if it is K-midconvex and K-quasiconvex.
DOI : 10.4064/ap-58-2-185-192
Keywords: set-valued functions, K-convex (K-midconvex, K-quasiconvex) set-valued functions, Ulam-Hyers stability

Tiziana Cardinali 1 ; Francesca Papalini 1

1 
@article{10_4064_ap_58_2_185_192,
     author = {Tiziana Cardinali and Francesca Papalini},
     title = {Some results on stability and on characterization of {K-convexity} of set-valued functions},
     journal = {Annales Polonici Mathematici},
     pages = {185--192},
     publisher = {mathdoc},
     volume = {58},
     number = {2},
     year = {1993},
     doi = {10.4064/ap-58-2-185-192},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-58-2-185-192/}
}
TY  - JOUR
AU  - Tiziana Cardinali
AU  - Francesca Papalini
TI  - Some results on stability and on characterization of K-convexity of set-valued functions
JO  - Annales Polonici Mathematici
PY  - 1993
SP  - 185
EP  - 192
VL  - 58
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-58-2-185-192/
DO  - 10.4064/ap-58-2-185-192
LA  - en
ID  - 10_4064_ap_58_2_185_192
ER  - 
%0 Journal Article
%A Tiziana Cardinali
%A Francesca Papalini
%T Some results on stability and on characterization of K-convexity of set-valued functions
%J Annales Polonici Mathematici
%D 1993
%P 185-192
%V 58
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-58-2-185-192/
%R 10.4064/ap-58-2-185-192
%G en
%F 10_4064_ap_58_2_185_192
Tiziana Cardinali; Francesca Papalini. Some results on stability and on characterization of K-convexity of set-valued functions. Annales Polonici Mathematici, Tome 58 (1993) no. 2, pp. 185-192. doi : 10.4064/ap-58-2-185-192. http://geodesic.mathdoc.fr/articles/10.4064/ap-58-2-185-192/

Cité par Sources :