Tbilisi Mathematical Journal
- Tbilisi Math. J.
- Volume 11, Issue 2 (2018), 77-96.
Approximate $n$-dimensional additive functional equation in various Banach spaces
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.
Tbilisi Math. J., Volume 11, Issue 2 (2018), 77-96.
Received: 30 January 2018
Accepted: 10 March 2018
First available in Project Euclid: 20 June 2018
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Primary: 39B52: Equations for functions with more general domains and/or ranges
Secondary: 39B72: Systems of functional equations and inequalities 39B82: Stability, separation, extension, and related topics [See also 46A22]
Bodaghi, Abasalt; Arunkumar, Mohan; Sathya, Elumalai. Approximate $n$-dimensional additive functional equation in various Banach spaces. Tbilisi Math. J. 11 (2018), no. 2, 77--96. doi:10.32513/tbilisi/1529460024. https://projecteuclid.org/euclid.tbilisi/1529460024