Approximate multi-Cauchy mappings on certain groupoids

Abstract

In this article, we give a representation of multi-Cauchy mappings on groupoids as an equation and then establish the (Hyers and Găvruţa) stability of such mappings on groupoids. In the case that the range is a subset of Banach space, the stability result will be different.

Keywords

• găvruţa stability
• groupoid
• hyers-ulam stability
• multi-cauchy mapping
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