%0 Journal Article
%T Generalized Stability of the Quadratic Type <i>¦Ë</i>-Functional Equation with 3<i>k</i>-Variables in Non-Archimedean Banach Space and Non-Archimedean Random Normed Space
%A Ly Van An
%J Open Access Library Journal
%V 10
%N 2
%P 1-21
%@ 2333-9721
%D 2023
%I Open Access Library
%R 10.4236/oalib.1109821
%X In this paper, we study to solve the quadratic type <i>¦Ë</i>-functional equation with 3<i>k</i> variables. First, we investigated in non-Archimedean Banach spaces with a fixed point method, next, we investigated in non-Archimedean Banach spaces with a direct method and finally we do research in non-Archimedean random spaces. I will show that the solutions of the quadratic type <i>¦Ë</i>-functional equation are quadratic type mappings. These are the main results of this paper.
%K Quadratic ¦Ë-Functional Equation
%K Non-Archimedean Normed Space
%K Non-Archimedean Banach Space
%K Fixed Point Method
%K Direct Method
%K Hyers-Ulam Stability
%K Random Normed Spaces
%K Non-Archimedean Random Normed Space
%U http://www.oalib.com/paper/6788841