A system of additive functional equations in complex Banach algebras-Reference-Cited by-同舟云学术

A system of additive functional equations in complex Banach algebras

Published:2023-01-01 Issue:1 Volume:56 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Paokanta Siriluk¹²,Dehghanian Mehdi³,Park Choonkil²,Sayyari Yamin³

Affiliation:

1. School of Science, University of Phayao , Phayao 56000 , Thailand

2. Department of Mathematics, Research Institute for Natural Sciences, Hanyang University , Seoul 04763 , Korea

3. Department of Mathematics, Sirjan University of Technology , Sirjan , Iran

Abstract

Abstract In this article, we solve the system of additive functional equations: 2 f ( x + y ) − g ( x ) = g ( y ) , g ( x + y ) − 2 f ( y − x ) = 4 f ( x )

\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{l}2f\left(x+y)-g\left(x)=g(y),\\ g\left(x+y)-2f(y-x)=4f\left(x)\end{array}\right.

and prove the Hyers-Ulam stability of the system of additive functional equations in complex Banach spaces. Furthermore, we prove the Hyers-Ulam stability of

-hom-ders in Banach algebras.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0165/pdf

Reference38 articles.

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3. M. Dehghanian, C. Park, and Y. Sayyari, On the stability of hom-der on Banach algebras (preprint).

4. A. Kheawborisuk, S. Paokanta, and J. Senasukh, Ulam stability of hom-ders in fuzzy Banach algebars, C. Park, AIMS Math. 7 (2022), no. 9, 16556–16568, DOI: https://doi.org/10.3934/math.2022907.

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