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Fuzzy stability of functional equations in n-variable fuzzy Banach spaces
- Issue Date
- Jul-2015
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- Fuzzy Banach space; Hyers-Ulam stability; Fixed point; Functional equation
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.19, no.1, pp.186 - 196
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 19
- Number
- 1
- Start Page
- 186
- End Page
- 196
- ISSN
- 1521-1398
- Abstract
- In this paper, we prove a generalized fuzzy version of the Hyers-Ulam stability for the functional equations f (phi(X)) = phi(X) f (X) + psi(X)e and f (phi(X)) = phi(X) f (X) by using the direct method and the fixed point method, where X denotes an n-variable. Furthermore, we can apply the obtained results to some well-known functional equations such as gamma-function, beta-function, and G-function type's equations.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)