TITLE:
Tremendous Development of Functional Inequalities and Cauchy-Jensen Functional Equations with 3k-Variables on Banach Space and Stability Derivation on Fuzzy-Algebras
AUTHORS:
Ly Van An
KEYWORDS:
Functional Equation, Functional Inequality Additivity, Banach Space, Derivation on Fuzzy-Algebras
JOURNAL NAME:
Open Access Library Journal,
Vol.11 No.2,
February
28,
2024
ABSTRACT: 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.