MALIHE PEYVASTE

. Inthispaper,firstweintroducetheconceptofanti-characteramenabilityofBanachalgebrasandprovethatforaBanachalgebraA,anti- characteramenabilityisequivalenttotheitscharacteramenability.Bythiswork,weachieveanewcharacterizationofcharacteramenabilityofBanachal- gebras.Afterwardswedefinetheconceptof3-Jordanamenabilityandstudythefunctorialpropertiesofthat,andshowthatthe3 Jordanamenabilityis equivalenttothecharacteramenabilityoftheBanachalgebraA.