Iteration method of explicit type for solution of the operator equations in the Hilbert space
An explicit iteration method for solution of the operator equations in the Hilbert space is proposed. Convergence of the method is proved in the case of an a priori choice of the number of iterations, and error estimates are obtained. The cases of non-uniqueness and convergence of the method in power norm are investigated. For the method under consideration, the application of the neighboring approximation rule and of the residual stop rule is substantiated.