The main objective of this paper is to introduce and to study fuzzy normed Riesz spaces. By the direct method, we prove the Hyers-Ulam stability of the following lattice preserving functional equation in fuzzy Banach Riesz space N2 (formula presented) are fuzzy normed Riesz space and fuzzy Banach Riesz space, respectively; and (formula presented) is a mapping such that (formula presented) for all τ, η ≥ 1 and α ∈ [0, 1).
|Number of pages||11|
|Journal||Journal of Computational Analysis and Applications|
|State||Published - 2018 Jan 1|
- Fixed point
- Fuzzy normed Riesz space
- Hyers-Ulam stability
- Lattice preserving functional equation