Stability of a Quadratic-Reciprocal Functional Equation: Direct Method

S. Karthikeyan, M. Suresh,V. Banu Priya,P. Palani

Communications in mathematics and applications（2024）

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摘要

In this paper, we establish the Hyers-Ulam, Hyers-Ulam-Rassias, generalized Hyers-Ulam-Rassias, and Rassias stability results of the quadratic -reciprocal functional equation: f(x+y ) = f(x) f(y)/f(x)+f(y)+2 root f(x)f(y) connected with fuzzy homomorphisms and fuzzy derivations between fuzzy Banach algebras using direct method.

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关键词

Quadratic reciprocal functional equation,Ulam-Hyers stability,Fuzzy Banach algebra

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