Hyers–Ulam Stability of Additive Functional Equation Using Direct and Fixed-Point Methods

K. Tamilvanan
G. Balasubramanian
Nazek Alessa
K. Loganathan

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Publication date

January 2020

DOI

10.1155/2020/6678772

Publisher

Hindawi Limited

Journal

Journal of Mathematics

Abstract

In this present work, we obtain the solution of the generalized additive functional equation and also establish Hyers–Ulam stability results by using alternative fixed point for a generalized additive functional equation χ∑g=1lvg=∑1≤g<h<i≤lχvg+vh+vi−∑1≤g<h≤lχvg+vh−l2−5l+2/2∑g=1lχvg−χ−vg/2. where l is a nonnegative integer with ℕ−0,1,2,3,4 in Banach spaces

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Hyers–Ulam Stability of Additive Functional Equation Using Direct and Fixed-Point Methods

Abstract

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Hyers–Ulam Stability of Additive Functional Equation Using Direct and Fixed-Point Methods

Abstract

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