On the stability of multi-m-Jensen mappings

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.

کلیدواژه ها:

Banach space ، multi-m-Jensen mapping ، Hyers-Ulam stability