Stability of a generalization of the Fréchet functional equation
xmlui.dri2xhtml.METS-1.0.item-citation: Annales Universitatis Paedagogicae Cracoviensis. 160, Studia Mathematica 14 (2015), s. [69]-79
xmlui.dri2xhtml.METS-1.0.item-iso: en
Date: 2015
Metadata
Show full item recordAbstract
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.