GENERALIZED HYERS-ULAM TYPE STABILITY OF THE
QUADRATIC FUNCTIONAL EQUATION INEQUALITIES WITH
2n-VARIABLES ON AN APPROXIMATE GROUP AND RING
HOMOMORPHISM

LY VAN AN

doi:https://doi.org/10.14445/22315373/IJMTT-V66I9P509

International Journal of Mathematics Trends and Technology

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Volume 66 | Issue 9 | Year 2020 | Article Id. IJMTT-V66I9P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I9P509

GENERALIZED HYERS-ULAM TYPE STABILITY OF THE QUADRATIC FUNCTIONAL EQUATION INEQUALITIES WITH 2n-VARIABLES ON AN APPROXIMATE GROUP AND RING HOMOMORPHISM

LY VAN AN

Abstract

In this paper we study to solve quadratic functional inequality with 2n− variables and their Hyers-Ulam type stability. F irst are investigated results with a direction method of group homomorphism and last are investigated in ring homomorphism. T hen I will show that the solutions of inequality are quadratic mapping. T hese are the main results of this paper

Keywords

stability, functional equation Banach space; generalized Hyers - Ulam stability: Jordan-homomorphism, Lie-homomorphism; equation functional inequality

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Citation :

LY VAN AN, "GENERALIZED HYERS-ULAM TYPE STABILITY OF THE QUADRATIC FUNCTIONAL EQUATION INEQUALITIES WITH 2n-VARIABLES ON AN APPROXIMATE GROUP AND RING HOMOMORPHISM," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 9, pp. 51-63, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I9P509