Abstract

Abstract 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.

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