Title of article :
A Fixed Point Approach to Stability of k-th Radical Functional Equation in Non-Archimedean (n, β)-Banach Spaces
Author/Authors :
EL-Fassi ، Iz-iddine Department of Mathematics - Faculty of Sciences and Techniques - Sidi Mohamed Ben Abdellah University , Elqorachi ، Elhoucien Department of Mathematics - Faculty of Sciences - Ibn Zohr University , Khodaei ، Hamid Faculty of Mathematical Sciences and Statistics - Malayer University
Abstract :
In this work, we prove a simple fixed point theorem in non-Archimedean (n,β) -Banach spaces, by applying this fixed point theorem, we will study the stability and the hyperstability of the kth radical-type functional equation: f (k √ xk + yk ) = f (x) + f (y), where f is a mapping on the set of real numbers and k is a fixed positive integer. Furthermore, we give some important consequences from our main results.
Keywords :
Fixed point theorem , Functional equation , Stability , Non , Archimedean , (n , β) , normed spaces
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
