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Non-Archimedean L-fuzzy normed spaces and stability of functional equationsopen access
- Authors
- Saadati, Reza; Park, Choonkil
- Issue Date
- Oct-2010
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- L-fuzzy metric and normed spaces; Intuitionistic fuzzy metric and normed spaces; Hyers-Ulam-Rassias stability; Quadratic functional equation; Non-Archimedean L-fuzzy normed space
- Citation
- COMPUTERS & MATHEMATICS WITH APPLICATIONS, v.60, no.8, pp.2488 - 2496
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMPUTERS & MATHEMATICS WITH APPLICATIONS
- Volume
- 60
- Number
- 8
- Start Page
- 2488
- End Page
- 2496
- ISSN
- 0898-1221
- Abstract
- Lee et al. considered the following quadratic functional equation f(lx + y) + f(lx - y) = 2l(2)f(x) + 2f(y) and proved the Hyers-Ulam-Rassias stability of the above functional equation in classical Banach spaces. In this paper, we prove the Hyers-Ulam-Rassias stability of the above quadratic functional equation in non-Archimedean L-fuzzy normed spaces.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)