Solution and Generalized Ulam-Hyers Stability of a Reciprocal Type Functional Equation in Non-Archimedean Fields

ABSTRACT
In this paper, we obtain the general solution of a reciprocal type functional equation of the type
and investigate its generalized Ulam-Hyers stability in non-Archimedean fields where 𝑘 > 2, 𝑘1 and
𝑘2 are positive integers with 𝑘 = 𝑘1 + 𝑘2 and 𝑘1 ≠ 𝑘2 . We also establish Hyers-Ulam-Rassias
stability, Ulam-Gavruta-Rassias stability and J.M. Rassias stability controlled by the mixed productsum of powers of norms for the same equation.

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WSN 31 (2016) 48-58