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In this paper we find the exact value region $\mathcal V(z_0,T)$ of the pointevaluation functional $f\mapsto f(z_0)$ over the class of all holomorphicinjective self-maps $f:\mathbb D\to\mathbb D$ of the unit disk $\mathbb D$having a boundary regular fixed point at $\sigma=-1$ with $f'(-1)=e^{T}$ andthe Denjoy - Wolff point at $\tau=1$.

Value regions of univalent self-maps with two boundary fixed points