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Additive \(\rho \)-functional inequalities in non-Archimedean normed spaces. (English) Zbl 1323.39023
The author studies two functional inequalities in non-Archimedean normed spaces and proves their Hyers-Ulam stability. The method is quite similar to the classical case.

39B62 Functional inequalities, including subadditivity, convexity, etc.
46S10 Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis
39B52 Functional equations for functions with more general domains and/or ranges
47S10 Operator theory over fields other than \(\mathbb{R}\), \(\mathbb{C}\) or the quaternions; non-Archimedean operator theory
12J25 Non-Archimedean valued fields
39B82 Stability, separation, extension, and related topics for functional equations
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