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ADDITIVE ρ-FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES
- Issue Date
- Dec-2016
- Publisher
- Kluwer Academic Publishers
- Keywords
- fuzzy Banach space; additive rho-functional inequality; fixed point method; Hyers-Ulam stability
- Citation
- Journal of Computational Analysis and Applications, v.21, no.6, pp 1115 - 1126
- Pages
- 12
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 21
- Number
- 6
- Start Page
- 1115
- End Page
- 1126
- ISSN
- 1521-1398
1572-9206
- Abstract
- In this paper, we solve the following additive p-functional inequalities N (f (x+y)-f (x)-f (y), t) <= N (rho(2f (x +y)/2) - f (x)-f (y)), t) (0.1) and N (2f (x+2/2 - f (x)-f (y),t) <= N(rho(f (x+y)-f (x)-f (y)),t) (0.2) in fuzzy normed spaces, where rho is a fixed real number with vertical bar rho vertical bar < 1. Using the fixed point method, we prove the Hyers-Ulam stability of the additive p-functional inequalities (0.1) and (0.2) in fuzzy Banach spaces.
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