Next Article in Journal
Spherical Fuzzy Credibility Dombi Aggregation Operators and Their Application in Artificial Intelligence
Previous Article in Journal
The Code Underneath
Previous Article in Special Issue
Functional Differential Equations with an Advanced Neutral Term: New Monotonic Properties of Recursive Nature to Optimize Oscillation Criteria
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Axioms
Volume 14
Issue 2
10.3390/axioms14020107
axioms-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

On Ulam Stability of the Davison Functional Equation in m-Banach Spaces

by
El-sayed El-hady
1 and
Janusz Brzdęk
2,*
1
Mathematics Department, College of Science, Jouf University, Sakaka P.O. Box 2014, Saudi Arabia
2
Faculty of Applied Mathematics, AGH University of Kraków, Mickiewicza 30, 30-059 Kraków, Poland
*
Author to whom correspondence should be addressed.
Axioms 2025, 14(2), 107; https://doi.org/10.3390/axioms14020107
Submission received: 26 November 2024 / Revised: 21 January 2025 / Accepted: 25 January 2025 / Published: 30 January 2025
(This article belongs to the Special Issue Difference, Functional, and Related Equations)
Versions Notes

Abstract

We prove new Ulam stability results for the Davison functional equation, h(sv)+h(s+v)=h(sv+s)+h(v), in the class of mappings h from a ring F into an m-Banach space. In this way, we complement several earlier outcomes, by extending them to the case of m-normed spaces. Our proofs are based on an earlier Ulam stability result obtained for some functional equation in a single variable.
Keywords: fixed point theorem; functional equation; Ulam stability; Davison functional equation; m-Banach space fixed point theorem; functional equation; Ulam stability; Davison functional equation; m-Banach space

Share and Cite

MDPI and ACS Style

El-hady, E.-s.; Brzdęk, J. On Ulam Stability of the Davison Functional Equation in m-Banach Spaces. Axioms 2025, 14, 107. https://doi.org/10.3390/axioms14020107

AMA Style

El-hady E-s, Brzdęk J. On Ulam Stability of the Davison Functional Equation in m-Banach Spaces. Axioms. 2025; 14(2):107. https://doi.org/10.3390/axioms14020107

Chicago/Turabian Style

El-hady, El-sayed, and Janusz Brzdęk. 2025. "On Ulam Stability of the Davison Functional Equation in m-Banach Spaces" Axioms 14, no. 2: 107. https://doi.org/10.3390/axioms14020107

APA Style

El-hady, E.-s., & Brzdęk, J. (2025). On Ulam Stability of the Davison Functional Equation in m-Banach Spaces. Axioms, 14(2), 107. https://doi.org/10.3390/axioms14020107

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop