DISCLOSED IS A STERILE/ANTIBACTERIAL COMPOSITION, A LIQUID DETERGENT COMPOSITION OR A COMPOSITION FOR TREATING A FIBER PRODUCT, WHICH COMPRISES A MIXTURE OF COMPONENTS (A1) AND (B1) OR A COMPLEX FORMED BY THE COMPONENTS (A1) AND (B1), WHEREIN THE COMPONENT (A1) IS A WATER-SOLUBLE SILVER SALT, A WATER-SOLUBLE COPPER SALT OR A WATER-SOLUBLE ZINC SALT AND THE COMPONENT (B1) IS AT LEAST ONE LONG-CHAIN ALKYLAMINE COMPOUND SELECTED FROM A COMPOUND REPRESENTED BY GENERAL FORMULA (I) AND A COMPOUND REPRESENTED BY GENERAL FORMULA (II) AND/OR AN ANION PRODUCED FROM THE LONG-CHAIN ALKYLAMINE COMPOUND. IN FORMULA (I), R¹ REPRESENTS AN ALKYL GROUP HAVING 8 TO 22 CARBON ATOMS A¹ REPRESENTS A HYDROGEN ATOM OR (CH₂)m,-COOX² X¹ AND X² INDEPENDENTLY REPRESENT A HYDROGEN ATOM, AN ALKALI METAL ATOM, AN ALKALI EARTH METAL ATOM, OR A CATIONIC AMMONIUM GROUP N REPRESENTS A NUMBER OF 1 TO 3 AND M REPRESENTS A NUMBER OF 1 TO 3. IN FORMULA (II), R² REPRESENTS AN ALKYL OR ACYL GROUP HAVING 8 TO 22 CARBON ATOMS Q REPRESENTS (NH-(CH₂)m) R REPRESENTS A NUMBER OF 1 OR 0, PROVIDED THAT A² AND A³ INDEPENDENTLY REPRESENT A HYDROGEN ATOM OR A METHYL GROUP WHEN R REPRESENTS 0, AND A² REPRESENTS A HYDROGEN ATOM AND A³ REPRESENTS A HYDROGEN ATOM OR CH₂COOX³ WHEN R REPRESENTS 1 X³ REPRESENTS A HYDROGEN ATOM, AN ALKALI METAL ATOM, AN ALKALI EARTH METAL ATOM OR A CATIONIC AMMONIUM GROUP N REPRESENTS A NUMBER OF 1 TO 3 AND M REPRESENTS A NUMBER OF 1 TO 3.
