The invention relates to the use of 1-aryl-2-aryloxyethane compounds with formula I, wherein n and m are equal to 0 or 1, provided that n+m=1, R1 and R2 particularly representing hydrogen atoms, R3 and R4 particularly representing hydrogen or halogen atoms or hydroxy or alkoxy groups, and R5 particularly representing hydrogen atoms or hydroxy, alkyl, alkoxy, amino or nitro groups, in cosmetic compositions intended for anti-aging and/or depigmenting and/or anti-inflammatory and/or healing care products.