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

Parbati Saha; Pratap Mondal; Binayak S. Chqudhury

doi:10.2478/tmmp-2021-0005

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

Tatra Mountains Mathematical Publications

Volume 78 (2021): Issue 1 (October 2021)

By: Parbati Saha, Pratap Mondal and Binayak S. Chqudhury

Open Access

|Jan 2022

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.

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2021-0005 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 59 - 72

Submitted on: Nov 4, 2020

Published on: Jan 1, 2022

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Hyers-Ulam-Rassias stability,

pexiderized functional equation,

Related subjects:

© 2022 Parbati Saha, Pratap Mondal, Binayak S. Chqudhury, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 78 (2021): Issue 1 (October 2021)