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Date Published:
10/10/2020
Online Published:
10/10/2020
Abstract Views: 37
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Views PDF: 28
Section
Natural Sciences Issue
How to Cite
Nguyen, P. Q., & Nguyen, V. D. (2020). On hyperstability of generalized linear equations in several variables in quasi-normed spaces. Dong Thap University Journal of Science, 9(5), 33-41. https://doi.org/10.52714/dthu.9.5.2020.815
On hyperstability of generalized linear equations in several variables in quasi-normed spaces
Main Article Content
Abstract
In this paper, we state and prove the hyperstability of generalized linear equations in several variables in quasi-normed spaces. As applications, we deduce some known results and some particular cases of generalized linear equations in several variables.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Keywords
Fixed point, linear equations in several variables, quasi-normed space
References
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N. V. Dung and V. T. L. Hang. (2018). The generalized hyperstability of general linear equations in quasi-Banach spaces.
J. Math. Anal. Appl., 462(1), 131-147.
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Yokohama Publishers, Yokohama. 1-23.
G. Maksa and Z. Pales. (2001). Hyperstability of a class of linear functional equations, Acta Math. Acad. Paedagog. Nyhazi. (NS). (17), 107-112.
S. M. Ulam. (1964). Problems in Modern Mathematics. Wiley, New York.
D. Zhang. (2015). On hyperstability of generalised linear equation in several variables. Bull. Aust. Math. Soc., (92), 259-267.
J. Brzdek, J. Chudziak, and Z. Piles. (2011). A fixed point approach to stability of functional equations. Nonlinear Anal., (74), 6728-6732.
N. V. Dung and V. T. L. Hang. (2018). The generalized hyperstability of general linear equations in quasi-Banach spaces.
J. Math. Anal. Appl., 462(1), 131-147.
D. H. Hyers. (1941). On the stability of the linear functional equation. Proc. Natl.
Acad. Sci. USA. (27), 222-224.
N. Kalton. (2003). Quasi-Banach spaces. In: W.B. Johnson, and J. Lindenstrauss (Eds.). Handbook of the Geometry of Banach Spaces. Elsevier, Amsterdam. (2), 1099-1130.
N. J. Kalton, N. T. Peck, and J. W. Roberts. (1984). An F-space sampler. London mathematical society lecture note series, Cambridge University Press. (89), 15-32.
L. Maligranda. (2008). Tosio Aoki (1910- 1989). In International symposium on Banach and Function Spaces II.
Yokohama Publishers, Yokohama. 1-23.
G. Maksa and Z. Pales. (2001). Hyperstability of a class of linear functional equations, Acta Math. Acad. Paedagog. Nyhazi. (NS). (17), 107-112.
S. M. Ulam. (1964). Problems in Modern Mathematics. Wiley, New York.
D. Zhang. (2015). On hyperstability of generalised linear equation in several variables. Bull. Aust. Math. Soc., (92), 259-267.
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