Title :
Stability of quintic and sextic functional equations in non-archimedean fuzzy normed spaces
Author :
Tian Zhou Xu ; Rassias, John Michael ; Wan Xin Xu ; Rassias, M.J.
Author_Institution :
Dept. of Math., Beijing Inst. of Technol., Beijing, China
Abstract :
We use the fixed point method to study the Hyers-Ulam stability of the quintic and sextic functional equations in non-Archimedean fuzzy normed spaces. In addition, we establish some results of approximately quintic and sextic mappings in non-Archimedean fuzzy normed spaces. Some applications of our result will be illustrated.
Keywords :
Galois fields; fixed point arithmetic; functional equations; fuzzy set theory; Hyers-Ulam stability; Quintic functional equations; Sextic functional equations; fixed point method; nonArchimedean fuzzy normed spaces; Additives; Educational institutions; Electronic mail; Equations; Mathematical model; Physics; Stability analysis; Hyers-Ulam stability; fixed point alternative; non-Archimedean fuzzy normed space; quintic mapping; sextic mapping;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2011 Eighth International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-61284-180-9
DOI :
10.1109/FSKD.2011.6019605
