GENERALIZED HYERS-ULAM TYPE STABILITY OF THE 2k-VARIABLE ADDITIVE β -FUNCTIONAL INEQUALITIES AND EQUATIONS IN COMPLEX BANACH SPACES

LY VAN AN

doi:https://doi.org/10.14445/22315373/IJMTT-V66I7P518

International Journal of Mathematics Trends and Technology

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Volume 66 | Issue 7 | Year 2020 | Article Id. IJMTT-V66I7P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I7P518

GENERALIZED HYERS-ULAM TYPE STABILITY OF THE 2k-VARIABLE ADDITIVE β -FUNCTIONAL INEQUALITIES AND EQUATIONS IN COMPLEX BANACH SPACES

LY VAN AN

Abstract

In this paper we study to solve two additive β - functional inequality the 2k - variables and their Hypers - Ulam stablity. First are investigated in complex Banach spaces and last are investigated the Hyers - Ulam stability of additive β - functional equation associated with the additive β - functional inequalities in complex Banach spaces. Then I'll show that the solutions of first and second inqualities are additive mappings. Then Hyers - Ulam stability of these inequalities are given and proven. These are the main results of their paper.

Keywords

additive β - functional equation; additive β - functional inequality; space; complex Banach space; Hyers - Ulam stabilty.

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Citation :

LY VAN AN, "GENERALIZED HYERS-ULAM TYPE STABILITY OF THE 2k-VARIABLE ADDITIVE β -FUNCTIONAL INEQUALITIES AND EQUATIONS IN COMPLEX BANACH SPACES," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 7, pp. 134-147, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I7P518