A robust variant of the method of contracting compacta

There is presented a modified method of contracting compacta that gives an estimate of the error of approximate solutions of certain ill-posed problems in the case when all initial data are measured with a preassigned exactness.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 12, pp. 1693–1696, December, 1991.