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A fixed point approach to the hyperstability of the general linear equation in β-Banach spaces.
- Source :
-
Analysis (0174-4747) . Aug2018, Vol. 38 Issue 3, p115-126. 12p. - Publication Year :
- 2018
-
Abstract
- The purpose of this paper is first to reformulate the fixed point theorem (see Theorem 1 of [J. Brzdȩk, J. Chudziak and Z. Páles, A fixed point approach to stability of functional equations, Nonlinear Anal. 74 2011, 17, 6728–6732]) in β-Banach spaces. We also show that this theorem is a very efficient and convenient tool for proving the hyperstability results of the general linear equation in β-Banach spaces. Our main results state that, under some weak natural assumptions, functions satisfying the equation approximately (in some sense) must be actually solutions to it. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01744747
- Volume :
- 38
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Analysis (0174-4747)
- Publication Type :
- Academic Journal
- Accession number :
- 130931416
- Full Text :
- https://doi.org/10.1515/anly-2017-0028