Non-Archimedean L-fuzzy normed spaces and stability of functional equations

作者：Saadati Reza; Park Choonkil^*

来源：Computers & Mathematics with Applications, 2010, 60(8): 2488-2496.

DOI：10.1016/j.camwa.2010.08.055

• 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

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.

• 出版日期2010-10