Fuzzy stability of a mixed type functional equation

Abstract

Abstract In this paper, we investigate a fuzzy version of stability for the functional equation f ( x + y + z ) - f ( x + y ) - f ( y + z ) - f ( x + z ) + f ( x ) + f ( y ) + f ( z ) = 0 in the sense of Mirmostafaee and Moslehian. 1991 Mathematics Subject Classification. Primary 46S40; Secondary 39B52.

Keywords

• fuzzy normed space
• fuzzy almost quadratic-additive mapping
• mixed type functional equation