<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

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

Indian Institute of Engineering Science and Technology

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In this paper, we consider pexiderized functional equations for studying their Hyers-Ulam-Rassias stability. This stability has been studied for a variety of...

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

Published Online: Jan 01, 2022

Page range: 59 - 72

Received: Nov 04, 2020

DOI: https://doi.org/10.2478/tmmp-2021-0005

Keywords
Hyers-Ulam-Rassias stability, pexiderized functional equation, modular spaces, fixed point method

© 2021 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Jan 01, 2022

Page range: 59 - 72

Received: Nov 04, 2020

DOI: https://doi.org/10.2478/tmmp-2021-0005

KeywordsHyers-Ulam-Rassias stability, pexiderized functional equation, modular spaces, fixed point method

© 2021 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Hyers-Ulam-Rassias stability, pexiderized functional equation, modular spaces, fixed point method