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HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES

Published online by Cambridge University Press:  18 June 2020

THEERAYOOT PHOCHAI Open the ORCID record for THEERAYOOT PHOCHAI [Opens in a new window]  and
SATIT SAEJUNG Open the ORCID record for SATIT SAEJUNG [Opens in a new window]
THEERAYOOT PHOCHAI
Affiliation:
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen40002, Thailand email [email protected]
SATIT SAEJUNG*
Affiliation:
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen40002, Thailand Research Center for Environmental and Hazardous Substance Management (EHSM), Khon Kaen University, Khon Kaen40002, Thailand Center of Excellence on Hazardous Substance Management (HSM), Patumwan, Bangkok10330, Thailand email [email protected]
*
✉[email protected]
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Abstract

Zhang [‘On hyperstability of generalised linear functional equations in several variables’, Bull. Aust. Math. Soc.92 (2015), 259–267] proved a hyperstability result for generalised linear functional equations in several variables by using Brzdęk’s fixed point theorem. We complete and extend Zhang’s result. We illustrate our results for general linear equations in two variables and Fréchet equations.

Keywords

hyperstabilitygeneralised linear functional equation

MSC classification

Primary: 39B82: Stability, separation, extension, and related topics
Secondary: 39B52: Equations for functions with more general domains and/or ranges 39B62: Functional inequalities, including subadditivity, convexity, etc.
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 102 , Issue 2 , October 2020 , pp. 293 - 302
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Copyright
© 2020 Australian Mathematical Publishing Association Inc.

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Footnotes

This work is supported by a research grant from the Faculty of Science, Khon Kaen University. The second author is also supported by the Thailand Research Fund and Khon Kaen University under grant RSA6280002.

References

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