Approximate cyclic amenability of Banach algebras

In the current paper, we deal with generalized notion ofamenability which is called approximate cyclic amenability. Weintroduce this concept and we show by means of an example, itsdistinction with its classic analogs. Moreover we show therelationship between approximate trace extension property andapproximate cyclic amenability. This answers partially, question9.1 of [3] for approximate cyclic amenability.