A fixed point approach to the Hyers-Ulam-Rassias stability problem of pexiderized functional equation in modular spaces

Rok, strany: 2021, 59 - 72

In this paper, we consider pexiderized functional equations for studying their Hyers-Ulam-Rassias stability. This stability has been studied for a variety of mathematical structures. Our framework of discussion is a modular space. We adopt a fixed-point approach to the problem in which we use a generalized contraction mapping principle in modular spaces. The result is illustrated with an example.

ISO 690:

Saha, S., Mondal, P., Choudhury, B. 2021. A fixed point approach to the Hyers-Ulam-Rassias stability problem of pexiderized functional equation in modular spaces. In Tatra Mountains Mathematical Publications, vol. 78, no.1, pp. 59-72. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0005

APA:

Saha, S., Mondal, P., Choudhury, B. (2021). A fixed point approach to the Hyers-Ulam-Rassias stability problem of pexiderized functional equation in modular spaces. Tatra Mountains Mathematical Publications, 78(1), 59-72. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0005

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava

https://creativecommons.org/licenses/by-nc-nd/4.0/