Stability of a generalized Drygas functional equation via Brzdȩk’s fixed point method

Mehdi Dehghanian ¹

Choonkil Park ²

Yamin Sayyari ¹

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Department of Mathematics, Sirjan University Of Technology, Sirjan, Iran |

Department of Mathematics, Research Institute for Convergence of Basic Science, Hanyang University, Seoul, Korea |

Publication type: Journal Article

Publication date: 2025-01-28

Springer Nature

Journal: Afrika Matematika

scimago Q3

SJR: 0.355

CiteScore: 2.0

Impact factor: 0.9

ISSN: 10129405, 21907668

DOI: 10.1007/s13370-025-01246-4

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Abstract

Using the Brzdȩk fixed point theorem, we establish the Hyers–Ulam stability of the following generalized Drygas functional equation $$\begin{aligned} \mathcal {F}(x+\sigma (y))+\mathcal {F}(x+\tau (y))=2\mathcal {F}(x)+\mathcal {F}(\sigma (y))+\mathcal {F}(\tau (y)) \end{aligned}$$ for all $$x,y\in X$$ , where $$\sigma ,\tau : X\rightarrow X$$ are additive isometries.

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Publisher

Springer Nature

Journal

Afrika Matematika

scimago Q3

SJR

0.355

CiteScore

2.0

Impact factor

0.9

ISSN

10129405 (Print)

21907668 (Electronic)