Fuzzy stability of an additive-quadratic functional equation in matrix fuzzy normed spaces
- Authors
- Shokri, Javad; Park, Choonkil
- Issue Date
- Sep-2017
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- additive-quadratic functional equation; matrix fuzzy normed space; fixed point; Hyers-Ulam stability
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.23, no.3, pp.424 - 432
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 23
- Number
- 3
- Start Page
- 424
- End Page
- 432
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/151674
- ISSN
- 1521-1398
- Abstract
- A mapping f: X x X -> Y is called additive-quadratic if f satisfies the system of equations
{ f(x + y, z) = f(x, z) + f (y, z), f(x, y + z) + f(x, y-z) = 2f(x,y) + 2f(x,z).
In this paper, using the fixed point method, we prove the Hyers-Ulam stability in matrix fuzzy normed spaces associated to the following additive-quadratic functional equation
f (x + y, z + w) + f (x + y, z - w) = 2f (x, z) + 2f (x, w) + 2f(y,z) + 2f (y, w)
for all x,y, z,w is an element of X.
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