Abstract
Our aim is to investigate the generalized Hyers-Ulam-Rassias stability for the following general Jensen functional equation:
where \(n \in \mathbb {N}_{2}\), \(b_{k}=\exp (\frac {2i\pi k}{n})\) for 0 ≤ k ≤ n − 1, in 2-Banach spaces by using a new version of Brzdȩk’s fixed point theorem. In addition, we prove some hyperstability results for the considered equation and the general inhomogeneous Jensen equation
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Almahalebi, M., Rassias, T.M., Al-Ali, S., Hryrou, M.E. (2022). Approximate Generalized Jensen Mappings in 2-Banach Spaces. In: Daras, N.J., Rassias, T.M. (eds) Approximation and Computation in Science and Engineering. Springer Optimization and Its Applications, vol 180. Springer, Cham. https://doi.org/10.1007/978-3-030-84122-5_2
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DOI: https://doi.org/10.1007/978-3-030-84122-5_2
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