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Perturbation of functional equations in MFN-spaces
- Authors
- Shokri, Javad; Park, Choonkil
- Issue Date
- Dec-2025
- Publisher
- Springer
- Keywords
- Operator space; Jensen-type functional equation; Matrix fuzzy normed space; Fixed point; Hyers-Ulam stability
- Citation
- Journal of Analysis, v.33, no.6, pp 2711 - 2721
- Pages
- 11
- Indexed
- SCOPUS
ESCI
- Journal Title
- Journal of Analysis
- Volume
- 33
- Number
- 6
- Start Page
- 2711
- End Page
- 2721
- ISSN
- 0971-3611
2367-2501
- Abstract
- In this research, we use a fixed point theorem to investigate the Hyers-Ulam stability in matrix fuzzy normed space (MFNS) connected to the generalized Jensen functional equation Sigma i=1mF(ai)=12m[Sigma i=1mF(mai+Sigma j=1,j not equal imaj)+F(Sigma i=1mai)], where m is a fixed positive integer with m >= 2. This work addresses the proofs of vital theorems and presents their corresponding corollaries.
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