Yu. D. Sokolov's method was applied to obtain approximate solutions (16) of the linear operator equation (2) in a Banach space. The sufficient condition $L_k < 1$ (29) for the convergence of the process is derived; estimates of the error (41), (42) and (44) are given; and the efficacy of Yu. D. Sokolov's method is illustrated by examples.
Citation Example:Luchka A. Y. Approximate solution of linear operator eqmtions in a Banach space by Yu. D. Sokolov's Method
// Ukr. Mat. Zh. - 1961. - 13, № 1. - pp. 39-52.
