‎In this paper we study on the stability of orbits for iterated function systems‎. ‎Precisely‎, ‎we prove that there exists a residual set $\mathcal{R} \subset \mathcal{H} (X) \times‎ ‎\mathcal{H} (X)$ such that for every $(f_0‎, ‎f_1) \in \mathcal{R}$‎, ‎$IFS (f_0‎ , ‎f_1)$ is weak orbitally stable‎, ‎$1$-inverse weak orbitally stable and $w$-orbitally stable‎, ‎where $w \in \Sigma^2$‎. As well we show that ‎for every $(f_0‎, ‎f_1) \in \mathcal{H} (X) \times \mathcal{H} (X)$‎, ‎$IFS (f_0‎, ‎f_1)$ is $2$-inverse weak orbitally stable‎.

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