Hyers-Ulam Stability of Functional Equation Deriving from Quadratic Mapping in Non-Archimedean n , β -Normed Spaces-Reference-Cited by-同舟云学术

Hyers-Ulam Stability of Functional Equation Deriving from Quadratic Mapping in Non-Archimedean n , β -Normed Spaces

Published:2021-05-03 Issue: Volume:2021 Page:1-10
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Alessa Nazek¹^ORCID,Tamilvanan K.²^ORCID,Loganathan K.³^ORCID,Selvi K. Kalai⁴

Affiliation:

1. Department of Mathematical Sciences, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh, Saudi Arabia

2. Department of Mathematics, Government Arts College for Men, Krishnagiri, 635 001 Tamilnadu, India

3. Research and Development Wing, Live4Research, Tiruppur, 638 106 Tamilnadu, India

4. SNS College of Technology, Coimbatore, Tamilnadu, India

Abstract

In this work, we have to introduce a generalized quadratic functional equation and derive its solution. The main objective of this work is to investigate the Hyers-Ulam stability of quadratic functional equation in non-Archimedean

(n, β)

-normed spaces.

Funder

Princess Nourah Bint Abdulrahman University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/9953214.pdf

Reference40 articles.

1. A collecetion of mathematicsl problems;S. M. Ulam,1960

2. On the Stability of the Linear Functional Equation

3. On the stability of the linear transformation in Banach spaces;T. Aoki;Journal of the Mathematical Society of Japan,1950

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

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

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