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On approximate double derivations and $*$-double derivations on fuzzy Banach algebras: a fixed point approach
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In this paper, we introduce the concept of a fuzzy $*$-double derivation and a fuzzy double derivation. Utilizing the fixed point method, we establish the Hyers--Ulam stability for the newly defined notions. Additionally, under specific conditions, we prove that every approximate fuzzy double derivation is, in fact, an exact fuzzy double derivation.
Abstract
In this paper, we introduce the concept of a fuzzy $*$-double derivation and a fuzzy double derivation. Utilizing the fixed point method, we establish the Hyers--Ulam stability for the newly defined notions. Additionally, under specific conditions, we prove that every approximate fuzzy double derivation is, in fact, an exact fuzzy double derivation.
관련 논문AI추천
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