scholarly journals Linear Functional Equations in the Hölder Class Functions on a Simple Smooth Curve

2020 ◽  
Vol 12 (2) ◽  
pp. 5-12
Author(s):  
V.L. Dilman ◽  
Keyword(s):  
Functional Equations ◽  
Linear Functional ◽  
Smooth Curve ◽  
Hölder Class ◽  
Linear Functional Equations ◽  
Holder Class

HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES

2020 ◽  
Vol 102 (2) ◽  
pp. 293-302
Author(s):  
THEERAYOOT PHOCHAI ◽  
SATIT SAEJUNG
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Functional Equations ◽  
Linear Functional ◽  
Linear Equations ◽  
General Linear ◽  
Several Variables ◽  
Linear Functional Equations

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.

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