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Riesz fuzzy normed spaces and stability of a lattice preserving functional equation
- Authors
- Park, Choonkil; Movahednia, Ehsan; Mosadegh, Seyed Mohammad Sadegh Modarres; Mursaleen, Mohammad
- Issue Date
- Mar-2018
- Publisher
- Kluwer Academic Publishers
- Keywords
- fuzzy normed Riesz space; fixed point; Hyers-Ulam stability; lattice preserving functional equation
- Citation
- Journal of Computational Analysis and Applications, v.24, no.3, pp 569 - 579
- Pages
- 11
- Indexed
- SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 24
- Number
- 3
- Start Page
- 569
- End Page
- 579
- ISSN
- 1521-1398
1572-9206
- Abstract
- 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).
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