Approximation of mixed Euler-Lagrange \(\sigma\)-cubic-quartic functional equation in Felbin’s type f-NLS. (English) Zbl 1460.39013
Summary: In this research paper, the authors present a new mixed Euler-Lagrange \(\sigma\)-cubic-quartic functional equation. For this introduced mixed type functional equation, the authors obtain general solution and investigate the various stabilities related to the Ulam problem in Felbin’s type of fuzzy normed linear space (f-NLS) with suitable counterexamples. This approach leads us to approximate the Euler-Lagrange \(\sigma\)-cubic-quartic functional equation with better estimation.
MSC:
| 39B82 | Stability, separation, extension, and related topics for functional equations |
| 39B52 | Functional equations for functions with more general domains and/or ranges |
| 46S40 | Fuzzy functional analysis |
| 47S40 | Fuzzy operator theory |
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