Title of article :
A fixed point approach to almost quartic mappings in quasi fuzzy normed spaces
Author/Authors :
Mirmostafaee، نويسنده , , Alireza Kamel، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2009
Abstract :
We will define a notion for a quasi fuzzy p-normed space, then we use the fixed point alternative theorem to establish Hyers–Ulam–Rassias stability of the quartic functional equation where functions map a linear space into a complete quasi fuzzy p-normed space. Later, we will show that there exists a close relationship between the fuzzy continuity behavior of a fuzzy almost quartic function, control function and the unique quartic mapping which approximates the almost quartic map. Finally, some applications of our results in the stability of quartic mappings from a linear space into a quasi p-norm space will be exhibited.
Keywords :
Fuzzy normed space , Quartic functional equation , analysis , Hyers–Ulam–Rassias stability , Fuzzy stability , fixed point alternative
Journal title :
FUZZY SETS AND SYSTEMS
Journal title :
FUZZY SETS AND SYSTEMS