Correction to the paper: ``Continuous dependence of the local strong unicity constant on domain'' (Q2563687)

The correction of an error in the proof of the key result (Theorem 4) of the authors [Aequationes Math. 46, No. 3, 229-242 (1993; Zbl 0785.41018)], where the limiting transition \[ \lim_{k\to\infty} \gamma(f-F(A_k,\cdot),S(A_k),X_k)=\gamma(f-F(A^*,\cdot),S( A^*),X) \] has been used while \(k\) was considered to be fixed, is reduced. In order to correct this error, they study the continuous dependence of the local strong unicity constant on the approximated function and domain simultaneously. The authors prove the changed theorem 4. To this effect, they have to introduce the corresponding changes also in the original theorems 1-3.