Approximate $n$-dimensional additive functional equation in various Banach spaces

Abasalt Bodaghi; Mohan Arunkumar; Elumalai Sathya

doi:10.32513/tbilisi/1529460024

June 2018 Approximate $n$-dimensional additive functional equation in various Banach spaces

Abasalt Bodaghi, Mohan Arunkumar, Elumalai Sathya

Tbilisi Math. J. 11(2): 77-96 (June 2018). DOI: 10.32513/tbilisi/1529460024

Abstract

In this paper, we modify the Cauchy additive functional equation and find all solutions of this new functional equation. Then, we study generalized Ulam-Hyers stability of such functional equation in various Banach spaces via Hyers' method.

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Abasalt Bodaghi, Mohan Arunkumar, and Elumalai Sathya "Approximate $n$-dimensional additive functional equation in various Banach spaces," Tbilisi Mathematical Journal 11(2), 77-96, (June 2018). https://doi.org/10.32513/tbilisi/1529460024

Received: 30 January 2018; Accepted: 10 March 2018; Published: June 2018

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