On stability of the functional equation of p-Wright affine functions in (2,α)-Banach spaces - Egyptian Knowledge Bank

383444

On stability of the functional equation of p-Wright affine functions in (2,α)-Banach spaces

Article

Last updated: 05 Jan 2025

Subjects

Abstract

Stability of functional equations has recent applications in many fields. We show that
the stability results obtained by J. Brzd ˛ek and concerning the functional equation of the
p-Wright affine function:
f(px1 + (1 − p)x2) + f((1 − p)x1 + px2) = f(x1) + f(x2),
can be proved also in (2,α)-Banach spaces, for some real number α ∈ (0, 1). This is
done using some fixed-point theorem.

DOI

10.1186/s42787-019-0024-y

Keywords

Hyers-ulam stability, p-Wright convexity, Affine function, Banach spaces

Authors

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First Name

El-sayed

Last Name

El-hady

MiddleName

Affiliation

Mathematics Department, College of Science, Jouf University, P.O. Box: 2014, Sakaka, Saudi Arabia , Basic Science Department, Faculty of Computers and Informatics, Suez Canal University, Ismailia 41522, Egyp

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City

Orcid

Volume

Article Issue

Related Issue

50652

Issue Date

2019-12-01

Receive Date

2024-10-02

Publish Date

2019-12-01

Page Start

Page End

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 27_Issue 1_Pages 1-9.pdf

PDF . 436.8kB

Link

https://joems.journals.ekb.eg/article_383444.html

Detail API

https://joems.journals.ekb.eg/service?article_code=383444

Order

383,444

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

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