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Generalized Ulam-Hyers-Rassias stability of a Cauchy type functional equationKeywords: Alternative fixed point , GeneralizedHyers-Ulam-Rassias stability , Cauchy type functional equation , additive mappings , a-normed spaces Abstract: Using the alternative fixed point theorem, we establish the generalized Hyers-Ulam-Rassias stability of a Cauchy type functional equation for functions taking values in arbitrary complete (real or complex) a-normed spaces.
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