A New Fixed Point Theorem and a New Generalized Hyers-Ulam-Rassias Stability in Incomplete Normed Spaces-Reference-Cited by-同舟云学术

A New Fixed Point Theorem and a New Generalized Hyers-Ulam-Rassias Stability in Incomplete Normed Spaces

Published:2019-11-16 Issue:11 Volume:7 Page:1117
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Ramezani Maryam,Ege Ozgur^ORCID,Sen Manuel De la^ORCID

Abstract

In this study, our goal is to apply a new fixed point method to prove the Hyers-Ulam-Rassias stability of a quadratic functional equation in normed spaces which are not necessarily Banach spaces. The results of the present paper improve and extend some previous results.

Funder

Basque Government

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/7/11/1117/pdf

Reference23 articles.

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2. On the Stability of the Linear Functional Equation

3. On the stability of the linear mapping in Banach spaces

4. A Generalization of the Hyers-Ulam-Rassias Stability of Approximately Additive Mappings

5. Fixed points and the stability of Jensen’s functional equation;Cadariu;J. Inequal. Pure Appl. Math.,2003

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