Ulam stability of the reciprocal functional equation in non-Archimedean fields. (English) Zbl 1349.39044
Summary: We introduce a new generalized reciprocal functional equation and study its Hyers-Ulam-Rassias stability. We also provide the counter examples for some cases, Ulam-Găvruta-Rassias stability and Hyers-Ulam-Rassias stability in non-Archimedean fields.
MSC:
| 39B82 | Stability, separation, extension, and related topics for functional equations |
| 39B52 | Functional equations for functions with more general domains and/or ranges |
| 46S10 | Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis |
