On ideal amenability of banach algebras

Let $\mathfrak A$ be a Banach algebra. The Banach algebra $\mathfrak A$ is said to be ideally amenable if every continuous derivation from $\mathfrak A$ into $\mathcal I^*$ is inner, where $\mathcal I$ is a two-sided ideal of $\mathfrak A$. In this paper, we consider the ideal amenability of Banach algebras, and try to give some new results on the ideal amenability of Banach algebras and commutative Banach algebras.