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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.

##### MSC:
 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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