Volume 10 Number 2 (Apr. 2020)
Home > Archive > 2020 > Volume 10 Number 2 (Apr. 2020) >
IJAPM 2020 Vol.10(2): 88-95 ISSN: 2010-362X
doi: 10.17706/ijapm.2020.10.2.88-95

On New Approximations of the Generalized Logarithmic Functional Equation in 2-Banach Spaces

Laddawan Aiemsomboon, Wutiphol Sintunavarat

Abstract—In this paper, we investigate the stabillty for the generalized logarithmic functional equation. By using the fixed point method of Brzdȩk and Ciepliński [‘On a fixed point theorem in 2-Banach spaces and some of its applications’, Acta Math. Scientia, 38(2), 377-390], the generalized Hyers-Ulam stability results for the generalized logarithmic functional equation are proved. Our results generalize, extend and complement some earlier classical results concerning the stability of the logarithmic functional equations. In addition, the stability of logarithmic functional equation in 2-Banach spaces can be derived from our main results.

Index Terms—Fixed point theorem, generalized logarithmic functional equation, Hyers-Ulam stability, 2-Banach spaces.

The authors are with Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12120, Thailand (email: Laddawan_Aiemsomboon@hotmail.com).

Cite: Laddawan Aiemsomboon, Wutiphol Sintunavarat, "On New Approximations of the Generalized Logarithmic Functional Equation in 2-Banach Spaces," International Journal of Applied Physics and Mathematics vol. 10, no. 2, pp. 88-95, 2020.


Copyright © 2020 by the authors. 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).

General Information

ISSN: 2010-362X (Online)
Abbreviated Title: Int. J. Appl. Phys. Math.
Frequency: Quarterly
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca 
Abstracting/ Indexing: INSPEC(IET), CNKI, Google Scholar, EBSCO, Chemical Abstracts Services (CAS), etc.
E-mail: ijapm@iap.org
  • Dec 27, 2021 News!

    IJAPM Vol 9 & Vol 10 have been indexed by Inspec   [Click]

  • Mar 27, 2024 News!

    IJAPM Vol 14, No 1 has been published online   [Click]

  • Jan 02, 2024 News!

    IJAPM will adopt Article-by-Article Work Flow For the Quarterly journal, each issue will be released at the end of the issue month

  • Jan 02, 2024 News!

    The papers published in Vol 13, No 4 has received dois from Crossref

  • Oct 09, 2023 News!

    IJAPM Vol 13, No 4 has been published with online version   [Click]

  • Read more>>