Stability of a generalization of the Fréchet functional equation

Renata Malejki

doi:10.1515/aupcsm-2015-0006

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Stability of a generalization of the Fréchet functional equation

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Volume 14 (2015): Issue 1 (December 2015)

By: Renata Malejki

Open Access

|Dec 2015

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.

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Articles in this issue

DOI: https://doi.org/10.1515/aupcsm-2015-0006 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X

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Language: English

Page range: 69 - 79

Submitted on: Apr 10, 2015

Published on: Dec 30, 2015

Published by: Pedagogical University of Cracow

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Related subjects:

Mathematics,

General mathematics

© 2015 Renata Malejki, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

Volume 14 (2015): Issue 1 (December 2015)