Stability results in non-Archimedean L -fuzzy normed spaces for a cubic functional equation

摘要

We establish some stability results concerning the functional equation n f ( x + n y ) + f ( n x ? y ) = n ( n 2 + 1 ) 2 [ f ( x + y ) + f ( x ? y ) ] + ( n 4 ? 1 ) f ( y ) , where n ≥ 2 is a fixed integer in the setting of non-Archimedean L -fuzzy normed spaces. MSC:39B52, 46S10, 46S40, 47S10, 47S40.