A fixed point approach to the stability of a general mixed additive-cubic functional equation in quasi fuzzy normed spaces

International Journal of Physical Sciences

Tian Zhou Xu¹ 

关键词: Fuzzy normed space;    fuzzy stability;    Hyers-Ulam-Rassias stability;    additive function;    cubic function;    fixed point alternative.;   

DOI  :  10.5897/IJPS09.320

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

In this paper, we use the fixed point alternative theorem to establish Hyers-Ulam-Rassias stability of the general mixed additive-cubic functional equation where functions map a linear space into a complete quasi fuzzy p-normed space. In addition, some applications of our results in the stability of general mixed additive-cubic mappings from a linear space into a quasi p-normed space will be exhibited. Finally, we establish some results of continuous approximately general mixed additive-cubic mappings in quasi fuzzy p-normed spaces.

【 授权许可】

CC BY