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3-VARIABLE ADDITIVE ρ-FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES
- Issue Date
- Apr-2017
- Publisher
- Kluwer Academic Publishers
- Keywords
- Hyers-Ulam stability; additive rho-functional inequality; fuzzy normed space
- Citation
- Journal of Computational Analysis and Applications, v.22, no.4, pp 684 - 698
- Pages
- 15
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 22
- Number
- 4
- Start Page
- 684
- End Page
- 698
- ISSN
- 1521-1398
1572-9206
- Abstract
- In this paper, we introduce and investigate the following additive rho-functional in-equalities N(f (x + y + z) - f (x) - f (y) - f (z), t) >= N (rho (2f (x + y/2 + z) - f (x) - f (y) - 2f(z)) , t), N (2f (x + y + z) - f (x) - f (y) - 2f (z), t) >= N (rho (2f (x + y + z/2) - f (x) - f (y) - f (z)) , t), N(f (x + y + z) - f(x) - f(y) - f (z), t) >= N (rho(2f (x + y + z/2) - f (x) - f (y) - f (z)) , t) in fuzzy normed spaces. Furthermore, we prove the Hyers-Ulam stability of the above additive rho-functional inequalities in fuzzy Banach spaces.
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