ON STABILILTY OF GENERALIZED ADDITIVE FUNCTIONAL EQUATIONS IN BANACH SPACE

The stability problem arises when a functional equation is replaced by an inequality. When the equation admits a unique solution, we say that the equation is stable. In this paper, an Arunkumar-Agilan type additive functional equation is considered. By applying the direct method introduced by Hyers and the method of Gavruta, we established the Hyers-Ulam-Rassias stability condition for such an additive functional equation.

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Journal
SHILAP Revista de lepidopterología
Published
2024-10-01
Primary Topic
Advanced Power Generation Technologies
Type
article
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article

ON STABILILTY OF GENERALIZED ADDITIVE FUNCTIONAL EQUATIONS IN BANACH SPACE

SHILAP Revista de lepidopterología
Advanced Power Generation Technologies
article

ON STABILILTY OF GENERALIZED ADDITIVE FUNCTIONAL EQUATIONS IN BANACH SPACE

article en

Abstract

The stability problem arises when a functional equation is replaced by an inequality. When the equation admits a unique solution, we say that the equation is stable. In this paper, an Arunkumar-Agilan type additive functional equation is considered. By applying the direct method introduced by Hyers and the method of Gavruta, we established the Hyers-Ulam-Rassias stability condition for such an additive functional equation.

SHILAP Revista de lepidopterología
Nigerian Defence Academy (NG)
Reduced inequalities
Openalex Percentile: Top 57%
Advanced Power Generation Technologies
Open Access PDFOpenAlex
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ON STABILILTY OF GENERALIZED ADDITIVE FUNCTIONAL EQUATIONS IN BANACH SPACE · SHILAP Revista de lepidopterología (2024) | TGRS Research Map | TGRS