Abstract
The paper is devoted to the solution of two quadratic ρ-functional inequalities and the Hyers-Ulam stability of these inequalities. Using the direct method, we prove the Hyers-Ulam stability of these inequalities in non-Archimedean Banach spaces. The Hyers-Ulam stability of the quadratic ρ-functional equations associated with these inequalities is also established in non-Archimedean Banach spaces.
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