Tremendous Development of Functional Inequalities and Cauchy-Jensen Functional Equations with 3k-Variables on Banach Space and Stability Derivation on Fuzzy-Algebras ()
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.
Share and Cite:
An, L. (2024) Tremendous Development of Functional Inequalities and Cauchy-Jensen Functional Equations with 3
k-Variables on Banach Space and Stability Derivation on Fuzzy-Algebras.
Open Access Library Journal,
11, 1-23. doi:
10.4236/oalib.1111241.
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