Stability of a generalization of the Fréchet functional equation

Renata Malejki

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (2015)

  • Volume: 14, page 69-79
  • ISSN: 2300-133X

Abstract

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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.

How to cite

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Renata Malejki. "Stability of a generalization of the Fréchet functional equation." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 14 (2015): 69-79. <http://eudml.org/doc/276416>.

@article{RenataMalejki2015,
abstract = {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.},
author = {Renata Malejki},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
language = {eng},
pages = {69-79},
title = {Stability of a generalization of the Fréchet functional equation},
url = {http://eudml.org/doc/276416},
volume = {14},
year = {2015},
}

TY - JOUR
AU - Renata Malejki
TI - Stability of a generalization of the Fréchet functional equation
JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY - 2015
VL - 14
SP - 69
EP - 79
AB - 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.
LA - eng
UR - http://eudml.org/doc/276416
ER -

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