Abstract
In this paper, we obtain the solution of a new generalized reciprocal type functional equation in two variables and investigate its generalized Hyers–Ulam stability in non-Archimedean fields. We also present the pertinent stability results of Hyers–Ulam–Rassias stability, Ulam–Gavruta–Rassias stability and J. M. Rassias stability controlled by the mixed product-sum of powers of norms.
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Ravi, K., Rassias, J.M. & Senthil Kumar, B.V. Ulam stability of a generalized reciprocal type functional equation in non-Archimedean fields. Arab. J. Math. 4, 117–126 (2015). https://doi.org/10.1007/s40065-014-0121-6
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DOI: https://doi.org/10.1007/s40065-014-0121-6