Stability Results for Some Classes of Cubic Functional Equations-Reference-Cited by-同舟云学术

Stability Results for Some Classes of Cubic Functional Equations

Published:2024-07-18 Issue:7 Volume:13 Page:480
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

El-hady El-sayed¹^ORCID,Sayyari Yamin²^ORCID,Dehghanian Mehdi²^ORCID,Alruwaily Ymnah¹^ORCID

Affiliation:

1. Mathematics Department, College of Science, Jouf University, Sakaka P.O. Box 2014, Saudi Arabia

2. Department of Mathematics, Sirjan University of Technology, Sirjan 7813733385, Iran

Abstract

Applications involving functional equations (FUEQs) are commonplace. They are essential to various applications, such as fog computing. Ulam’s notion of stability is highly helpful since it provides a range of estimates between exact and approximate solutions. Using Brzdȩk’s fixed point technique (FPT), we establish the stability of the following cubic type functional equations (CFUEQs): Fξ13+ξ233+Fξ13−ξ233=2F(ξ1)+2F(ξ2),2Fξ13+ξ2323=F(ξ1)+F(ξ2) for all ξ1,ξ2∈R.

Funder

Deanship of Graduate Studies and Scientific Research at Jouf University

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/7/480/pdf

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