Document Type : Research Articles

Authors

• Abasalt Bodaghi ¹
• Mohammad Maghsoudi ²

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

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

Abstract

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.

Keywords

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