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Stability Property of Functional Equations in Modular Spaces: A Fixed-Point Approach.
- Source :
-
Mathematical Notes . Jan2021, Vol. 109 Issue 1/2, p262-269. 8p. - Publication Year :
- 2021
-
Abstract
- We investigate the Hyers–Ulam–Rassias stability property of a quadratic functional equation. The analysis is done in the context of modular spaces. The type of stability considered here is very general in character which has been considered in various domains of mathematics. The speciality of the functional equation considered here is that it has a geometrical background behind its introduction. We approach the problem by applying a fixed point method for which a version of the contraction mapping principle in modular spaces is utilized. Also the results in this paper are established without using some familiar conditions on modular spaces. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FUNCTIONAL equations
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 109
- Issue :
- 1/2
- Database :
- Academic Search Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 151271735
- Full Text :
- https://doi.org/10.1134/S0001434621010302