Iterative Processes On The Basis Of Parametric Approximations

This chapter is devoted to applications of the parametric approximations formalism developed in Section 3.2 to constructing iterative processes for nonlinear irregular operator equations in Hilbert and Banach spaces. The design of these processes is based on iteration of the schemes (3.2.1) and (3.2.16). In Section 4.1 we propose a unified approach to constructing and studying iterative solution methods for nonlinear equations with smooth operators in a Hilbert space.