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A FIXED POINT ALTERNATIVE TO THE STABILITY OF A QUADRATIC α-FUNCTIONAL EQUATION IN FUZZY BANACH SPACES
- Authors
- Park, Choonkil; Lee, Jung Rye; Shin, Dong Yun
- Issue Date
- Jun-2017
- Publisher
- Kluwer Academic Publishers
- Keywords
- fuzzy Banach space; quadratic alpha-functional equation; fixed point method; Hyers-Ulam stability
- Citation
- Journal of Computational Analysis and Applications, v.22, no.7, pp 1241 - 1248
- Pages
- 8
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 22
- Number
- 7
- Start Page
- 1241
- End Page
- 1248
- ISSN
- 1521-1398
1572-9206
- Abstract
- In this paper, we solve the following quadratic alpha-functional equation N (2f (x) + 2f (y) - f (x + y) - alpha(-2) f(alpha(x - y)), t) >= t/(t + phi(x, y) (0.1) in fuzzy normed spaces, where rho is a fixed real number with alpha(-1) not equal +/-root 3 Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic alpha-functional equation (0.1) in fuzzy Banach spaces.
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