Ulam-Hyers stability results of \(\lambda\)-quadratic functional equation with three variables in non-Archimedean Banach space and non-Archimedean random normed space. (English) Zbl 1491.39017
Summary: In this paper, we introduce the \(\lambda \)-quadratic functional equation with three variables and obtain its general solution. The main aim of this work is to examine the Ulam-Hyers stability of this functional equation in non-Archimedean Banach space by using direct and fixed point techniques and examine the stability results in non-Archimedean random normed space.
MSC:
| 39B82 | Stability, separation, extension, and related topics for functional equations |
| 39B52 | Functional equations for functions with more general domains and/or ranges |
| 26E30 | Non-Archimedean analysis |
| 47S10 | Operator theory over fields other than \(\mathbb{R}\), \(\mathbb{C}\) or the quaternions; non-Archimedean operator theory |
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