GENERALIZED HYERS-ULAM-RASSIAS TYPE STABILITY OF THE ISOMETRIC ADDITIVE MAPPING IN QUASI-BANACH SPACES

LY VAN AN

doi:https://doi.org/10.14445/22315373/IJMTT-V67I9P505

International Journal of Mathematics Trends and Technology

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Volume 67 | Issue 9 | Year 2021 | Article Id. IJMTT-V67I9P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I9P505

GENERALIZED HYERS-ULAM-RASSIAS TYPE STABILITY OF THE ISOMETRIC ADDITIVE MAPPING IN QUASI-BANACH SPACES

LY VAN AN

Abstract

In this paper, we study to solve the Hyers-Ulam-Rassias stability of the isometric additive mappings in quasi-Banach spaces, associated to additive functional equation with 2k-variables. First are investigated results the Hyers-Ulam-Rassias sta- bility of of the isometric in quasi-Banach spaces, and last are investigated isometric in p-Banach spaces. Then I will show that the solutions of equation are additive mapping. These are the main results of this paper.

Keywords

Cauchy type additive, functional equation, Jensen functional equation iso- metric in quasi-Banach spaces, Hyers-Ulam-Rassias, stability; p-Banach spaces

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Citation :

LY VAN AN, "GENERALIZED HYERS-ULAM-RASSIAS TYPE STABILITY OF THE ISOMETRIC ADDITIVE MAPPING IN QUASI-BANACH SPACES," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 9, pp. 31-45, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I9P505