On the stability of multi-m-Jensen mappings

Document Type : Research Articles


1 Department of Mathematics Garmsar Branchو Islamic Azad Universityو Garmsar, Iran

2 Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran


In this article, we introduce the multi-$m$-Jensen mappings and characterize them as a single equation. Using a fixed point theorem, we study the generalized Hyers-Ulam stability for such mappings. As a consequence, we show that every multi-$m$-Jensen mappings (under some conditions) is hyperstable.