GENERALIZED HYERS-ULAM-RASSIAS TYPE STABILITY OF THE 2k-VARIABLE ADDITIVE FUNCTIONAL INEQUALITIES IN NON-ARCHIMEDEAN BANACH SPACES AND BANACH SPACES

LY VAN AN

doi:https://doi.org/10.14445/22315373/IJMTT-V67I9P521

International Journal of Mathematics Trends and Technology

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Volume 67 | Issue 9 | Year 2021 | Article Id. IJMTT-V67I9P521 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I9P521

GENERALIZED HYERS-ULAM-RASSIAS TYPE STABILITY OF THE 2k-VARIABLE ADDITIVE FUNCTIONAL INEQUALITIES IN NON-ARCHIMEDEAN BANACH SPACES AND BANACH SPACES

LY VAN AN

Abstract

In this paper we use the direct method to proved two the generalized additive functional inequalities with 2k-variables and their Hyers-Ulam-Rassias stability. First are investigated in Banach spaces and the last are investigated in non-Archimedean Banach spaces. We will show that the solutions of the inequalities are additive mappings. These are the main results of this paper.

Keywords

Cauchy functional equation, additive functional inequality, additive β - functional inequalities, Banach space, non-Archimedian Banach space, Hyers-Ulam-Rassias stability.

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Citation :

LY VAN AN, "GENERALIZED HYERS-ULAM-RASSIAS TYPE STABILITY OF THE 2k-VARIABLE ADDITIVE FUNCTIONAL INEQUALITIES IN NON-ARCHIMEDEAN BANACH SPACES AND BANACH SPACES," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 9, pp. 183-197, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I9P521