Next Article in Journal
Hyperfuzzy Ideals in BCK/BCI-Algebras
Next Article in Special Issue
On Generalized Pata Type Contractions
Previous Article in Journal
Convertible Subspaces of Hessenberg-Type Matrices
Article Menu
Issue 4 (December) cover image

Export Article

Open AccessArticle
Mathematics 2017, 5(4), 78; doi:10.3390/math5040078

A Fixed Point Approach to the Stability of a Mean Value Type Functional Equation

1
Mathematics Section, Hongik University, Sejong 30016, Korea
2
Department of Mathematics Education, Gongju National University of Education, Gongju 32553, Korea
*
Author to whom correspondence should be addressed.
Received: 3 November 2017 / Revised: 30 November 2017 / Accepted: 5 December 2017 / Published: 13 December 2017
(This article belongs to the Special Issue Fixed Point Theory)
View Full-Text   |   Download PDF [235 KB, uploaded 13 December 2017]

Abstract

We prove the generalized Hyers–Ulam stability of a mean value type functional equation f ( x ) g ( y ) = ( x y ) h ( x + y ) by applying a method originated from fixed point theory. View Full-Text
Keywords: Hyers–Ulam stability; mean value type functional equation; fixed point method; fixed point Hyers–Ulam stability; mean value type functional equation; fixed point method; fixed point
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Jung, S.-M.; Lee, Y.-H. A Fixed Point Approach to the Stability of a Mean Value Type Functional Equation. Mathematics 2017, 5, 78.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top