GENERALIZED HYERS-ULAM-RASSIAS TYPE STABILITY OF ADDITIVE TYPE FUNCTIONAL EQUATIONS WITH 2k-VARIABLE IN (l,β)-NORMED SPACES

LY VAN AN

doi:https://doi.org/10.14445/22315373/IJMTT-V67I10P502

International Journal of Mathematics Trends and Technology

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Volume 67 | Issue 10 | Year 2021 | Article Id. IJMTT-V67I10P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I10P502

GENERALIZED HYERS-ULAM-RASSIAS TYPE STABILITY OF ADDITIVE TYPE FUNCTIONAL EQUATIONS WITH 2k-VARIABLE IN (l,β)-NORMED SPACES

LY VAN AN

Abstract

In this paper, we study to solve the Hyers − Ulam − Rassias stability type of the Cauchy functional equation and then Jensen functional equation in non − Archimdean (l,β)-normed space. and that of the pexiderized Cauchy functional equation in (l,β)-normed space Then I will show that the solutions of equation are additive mapping. T hese are the main results of this paper.

Keywords

Hyers-Ulam-Rassias stability, (l,β)-normed space, non-Archimdean (l,β)- normed space, complete non-Archimdean (l,β)-normed space, Cauchy functional equation with 2k-variable, Jensen functional equation with 2k-variable, pexiderized Cauchy functional equation.

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Citation :

LY VAN AN, "GENERALIZED HYERS-ULAM-RASSIAS TYPE STABILITY OF ADDITIVE TYPE FUNCTIONAL EQUATIONS WITH 2k-VARIABLE IN (l,β)-NORMED SPACES," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 10, pp. 7-33, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I10P502