On fuzzy approximately cubic type mapping in fuzzy Banach spaces

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• 作者：Tian Zhou Xu ^{xutianzhou@bit.edu.cn" class="auth_mail}
• 关键词：Fuzzy Hyers&ndash ; Ulam&ndash ; Rassias stability ; Fuzzy Banach space ; Cubic type functional equation ; Cubic mapping ; Fixed point alternative
• 刊名：Information Sciences
• 出版年：10 September 2014
• 年：2014
• 卷：278
• 期：Complete
• 页码：56-66
• 全文大小：388 K

文摘

The first study of the fuzzy approximately cubic mappings in nonlinear analysis is due to Mirmostafaee and Moslehian (2008), and a fuzzy version of a generalized Hyers–Ulam–Rassias type stability for the cubic functional equation, in the fuzzy normed linear space setting is presented. In this note we give an alternative proof of this result, using the fixed point method in probabilistic metric spaces. Moreover, we investigate fuzzy generalized Hyers–Ulam–Rassias stability of an n-dimensional cubic type functional equation in fuzzy Banach spaces.