scholarly journals A regularity theorem for composite functional equations

2001 ◽  
Vol 77 (4) ◽  
pp. 317-322 ◽  
Author(s):  
A. Gilányi ◽  
Z. Páles
Keyword(s):  
Functional Equations ◽  
Regularity Theorem ◽  
Composite Functional Equations

scholarly journals TRANSCENDENTAL MEROMORPHIC SOLUTIONS OF A TYPE OF q-DIFFERENCE COMPOSITE FUNCTIONAL EQUATIONS

2018 ◽  
Vol 50 (1) ◽  
pp. 37-50
Author(s):  
Shuxin Han ◽  
◽  
Yue Wang ◽  
Jianying Liang ◽  
Hua Wang ◽  
...  
Keyword(s):  
Functional Equations ◽  
Meromorphic Solutions ◽  
Composite Functional Equations

On a class of composite functional equations in a single variable

1996 ◽  
Vol 52 (1) ◽  
pp. 260-283 ◽  
Author(s):  
P. Kahlig ◽  
A. Matkowska ◽  
J. Matkowski
Keyword(s):  
Functional Equations ◽  
Single Variable ◽  
Composite Functional Equations

scholarly journals On new stability results for composite functional equations in quasi-β-normed spaces

2021 ◽  
Vol 54 (1) ◽  
pp. 68-84
Author(s):  
Anurak Thanyacharoen ◽  
Wutiphol Sintunavarat
Keyword(s):  
Banach Space ◽  
Functional Equation ◽  
Functional Equations ◽  
Direct Method ◽  
Functional Inequality ◽  
Fixed Point Method ◽  
Normed Spaces ◽  
Composite Functional Equations ◽  
Stability Results ◽  
Rassias Stability

Abstract In this article, we prove the generalized Hyers-Ulam-Rassias stability for the following composite functional equation: f ( f ( x ) − f ( y ) ) = f ( x + y ) + f ( x − y ) − f ( x ) − f ( y ) , f(f\left(x)-f(y))=f\left(x+y)+f\left(x-y)-f\left(x)-f(y), where f f maps from a ( β , p ) \left(\beta ,p) -Banach space into itself, by using the fixed point method and the direct method. Also, the generalized Hyers-Ulam-Rassias stability for the composite s s -functional inequality is discussed via our results.

On methods for solving composite functional equations

2020 ◽  
Vol 94 (4) ◽  
pp. 605-628
Author(s):  
Nicole Brillouët-Belluot
Keyword(s):  
Functional Equations ◽  
Composite Functional Equations
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