Stability of an non-additive functional equation

Author:

Govindan Vediyappan,Gunasekaran Nallappan,Pinelas Sandra

Abstract

Abstract In this paper, the authors investigated the general solution and generalized Hyers-Ulam stability of Non additive functional equation of the form Ω(2θ 1±θ 2±θ 3) + (θ 2) + 2Ω(θ 3) = 2Ω(θ 1±θ 2) + 2Ω(θ 1±θ 3) + Ω(θ 2±θ 3) in Banch space using direct and fixed point methods.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Reference20 articles.

1. On the stability of the linear transformation in Banach spaces;Aoki;J.Math. Soc. Japan,1950

2. An n-dimensional Cubic Functional Equation and its Hyers-Ulam Stability;Bodaghi;The Journal of Analysis,2019

3. Generalized additive mapping in Banach modules and isomorphism between C* -algebras;Baak;J Math. Inequal. Appl.,2006

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