Geodesic
Stability of a generalization of the Fréchet functional equation
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, no. 14 (2015)

Voir la notice de l'article provenant de la source Library of Science

We prove some stability and hyperstability results for a generalization of the well known Fréchet functional equation, stemming from one of the characterizations of the inner product spaces. As the main tool we use a fixed point theorem for some function spaces. We end the paper with some new inequalities characterizing the inner product spaces. 
@article{AUPCM_2015_14_a6,
     author = {Malejki, Renata},
     title = {Stability of a generalization of the {Fr\'echet} functional equation},
     journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
     publisher = {mathdoc},
     number = {14},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AUPCM_2015_14_a6/}
}
TY  - JOUR
AU  - Malejki, Renata
TI  - Stability of a generalization of the Fréchet functional equation
JO  - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY  - 2015
IS  - 14
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AUPCM_2015_14_a6/
LA  - en
ID  - AUPCM_2015_14_a6
ER  - 
%0 Journal Article
%A Malejki, Renata
%T Stability of a generalization of the Fréchet functional equation
%J Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
%D 2015
%N 14
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AUPCM_2015_14_a6/
%G en
%F AUPCM_2015_14_a6
Malejki, Renata. Stability of a generalization of the Fréchet functional equation. Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, no. 14 (2015). http://geodesic.mathdoc.fr/item/AUPCM_2015_14_a6/