On a new type of stability of a radical cubic functional equation related to Jensen mapping

Subject Areas : Functional analysis

S. A. A. AL-Ali ¹ , Y. Elkettani ²

1 - Department of Mathematics, Faculty of Sciences, Ibn Tofail University, BP-14000, Kenitra, Morocco
2 - Department of Mathematics, Faculty of Sciences, Ibn Tofail University, BP-14000, Kenitra, Morocco

Received: 2018-05-27 Accepted : 2018-10-15 Published : 2018-11-01

Keywords: Stability, hyperstability, 2-Banach spaces, radical functional equations,

Abstract :

‎The aim of this paper is to introduce and solve the‎radical cubic functional equation‎ ‎$‎‎f\left(\sqrt[3]{x^{3}+y^{3}}\right)+f\left(\sqrt[3]{x^{3}-y^{3}}\right)=2f(x)‎$.‎ ‎We also investigate some stability and hyperstability results for‎‎the considered equation in 2-Banach spaces‎.

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