Abstract
In this paper, using the fixed point alternative approach, we prove the generalized Hyers–Ulam–Rassias stability of the following Euler–Lagrange-type additive functional equation where \(r_1, \ldots , r_m \in \mathbb R\), \(\sum _{i=1}^{m}r_i\neq 0,\) and r i, r j ≠ 0 for some 1 ≤ i < j ≤ m in random normed spaces.
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Kenary, H.A. (2018). Fixed Point and Nearly m-Dimensional Euler–Lagrange-Type Additive Mappings. In: Daras, N., Rassias, T. (eds) Modern Discrete Mathematics and Analysis . Springer Optimization and Its Applications, vol 131. Springer, Cham. https://doi.org/10.1007/978-3-319-74325-7_11
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DOI: https://doi.org/10.1007/978-3-319-74325-7_11
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