%0 Journal Article
%T Tremendous Development of Functional Inequalities and Cauchy-Jensen Functional Equations with 3<em>k</em>-Variables on Banach Space and Stability Derivation on Fuzzy-Algebras
%A Ly Van An
%J Open Access Library Journal
%V 11
%N 2
%P 1-23
%@ 2333-9721
%D 2024
%I Open Access Library
%R 10.4236/oalib.1111241
%X In this paper, I study to solve functional inequalities and equations of type Cauchy-Jensen with 3k-variables in a general form. I first introduce the con-cept of the general Cauchy-Jensen equation and next, I use the direct method of proving the solutions of the Jensen-Cauchy functional inequalities relative to the general Cauchy-Jensen equations and then I show that their solutions are mappings that are additive mappings calculated and finally apply the de-rivative setup on fuzzy algebra also the results of the paper.
%K Functional Equation
%K Functional Inequality Additivity
%K Banach Space
%K Derivation on Fuzzy-Algebras
%U http://www.oalib.com/paper/6816315