A Fixed Point Approach to the Hyers-Ulam-Rassias Stability Problem of Pexiderized Functional Equation in Modular Spaces

Autor: Saha, Parbati, Mondal, Pratap, Chqudhury, Binayak S.
Zdroj: Tatra Mountains Mathematical Publications; January 2022, Vol. 78 Issue: 1 p59-72, 14p
Abstrakt: 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.
Databáze: Supplemental Index