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Quadratic (ρ1, ρ2)-functional inequality in fuzzy normed spaces
- Issue Date
- Jul-2019
- Publisher
- Kluwer Academic Publishers
- Keywords
- fuzzy Banach space; quadratic (ρ1, ρ2)-functional inequality; fixed point method; Hyers-Ulam stability
- Citation
- Journal of Computational Analysis and Applications, v.26, no.8, pp 1521 - 1529
- Pages
- 9
- Indexed
- SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 26
- Number
- 8
- Start Page
- 1521
- End Page
- 1529
- ISSN
- 1521-1398
1572-9206
- Abstract
- In this paper, we introduce and solve the following quadratic (ρ1, ρ2)-functional inequality (formala presented) in fuzzy normed spaces, where ρ1 and ρ2 are fixed nonzero real numbers with 1/|ρ1| + 1/2|ρ2| < 1, and f(0) = 0. Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic (ρ1, ρ2)- functional inequality (0.1) in fuzzy Banach spaces.
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