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Tremendous Development of Functional Inequalities and Cauchy-Jensen Functional Equations with 3k-Variables on Banach Space and Stability Derivation on Fuzzy-Algebras

DOI: 10.4236/oalib.1111241, PP. 1-23

Subject Areas: Mathematics

Keywords: Functional Equation, Functional Inequality Additivity, Banach Space, Derivation on Fuzzy-Algebras

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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.

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An, L. V. (2024). Tremendous Development of Functional Inequalities and Cauchy-Jensen Functional Equations with 3k-Variables on Banach Space and Stability Derivation on Fuzzy-Algebras. Open Access Library Journal, 11, e1241. doi: http://dx.doi.org/10.4236/oalib.1111241.

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