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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. Elumalai Sathya. "Approximate $n$-dimensional additive functional equation in various Banach spaces." Tbilisi Math. J. 11 (2) 77 - 96, June 2018. https://doi.org/10.32513/tbilisi/1529460024

Information

Received: 30 January 2018; Accepted: 10 March 2018; Published: June 2018
First available in Project Euclid: 20 June 2018

zbMATH: 07172266
MathSciNet: MR3954185
Digital Object Identifier: 10.32513/tbilisi/1529460024

Subjects:
Primary: 39B52‎
Secondary: 39B72 , 39B82

Keywords: 2-Banach space , additive functional equations , Banach space , fuzzy quasi-$beta$-Banach space , generalized Ulam-Hyers stability , quasi 2-Banach space , Quasi-$beta$-Banach space

Rights: Copyright © 2018 Tbilisi Centre for Mathematical Sciences

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Vol.11 • No. 2 • June 2018
Tbilisi Centre for Mathematical Sciences
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