Geodesic
On some generalized invariant means and their application to the stability of the Hyers-Ulam type
Annales Polonici Mathematici, Tome 58 (1993) no. 2, pp. 147-159.

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

We present some extension of the concept of an invariant mean to a space of vector-valued mappings defined on a semigroup. Next, we apply it to the study of the stability of some functional equation.
DOI : 10.4064/ap-58-2-147-159
Keywords: Hyers-Ulam stability theorem, invariant mean, binary intersection property

Roman Badora 1

1 
@article{10_4064_ap_58_2_147_159,
     author = {Roman Badora},
     title = {On some generalized invariant means and their application to the stability of the {Hyers-Ulam} type},
     journal = {Annales Polonici Mathematici},
     pages = {147--159},
     publisher = {mathdoc},
     volume = {58},
     number = {2},
     year = {1993},
     doi = {10.4064/ap-58-2-147-159},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-58-2-147-159/}
}
TY  - JOUR
AU  - Roman Badora
TI  - On some generalized invariant means and their application to the stability of the Hyers-Ulam type
JO  - Annales Polonici Mathematici
PY  - 1993
SP  - 147
EP  - 159
VL  - 58
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-58-2-147-159/
DO  - 10.4064/ap-58-2-147-159
LA  - en
ID  - 10_4064_ap_58_2_147_159
ER  - 
%0 Journal Article
%A Roman Badora
%T On some generalized invariant means and their application to the stability of the Hyers-Ulam type
%J Annales Polonici Mathematici
%D 1993
%P 147-159
%V 58
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-58-2-147-159/
%R 10.4064/ap-58-2-147-159
%G en
%F 10_4064_ap_58_2_147_159
Roman Badora. On some generalized invariant means and their application to the stability of the Hyers-Ulam type. Annales Polonici Mathematici, Tome 58 (1993) no. 2, pp. 147-159. doi : 10.4064/ap-58-2-147-159. http://geodesic.mathdoc.fr/articles/10.4064/ap-58-2-147-159/

Cité par Sources :