FINITE-DIMENSIONAL APPROXIMATION FOR SYSTEM OF NONLINEAR MONOTONE ILL-POSED EQUATIONS IN BANACH SPACE

Abstract

In fact have many problem lead to solving the system of nonlinear monotone ill-posed equations such as image reconstruction problem, signal recovery problem, optimal control problem . . . These problems are studied in finite-dimensional spaces as well as infinite-dimensional spaces. In this paper we study the convergence and convergence rate for regularization solutions in connection with the finite-dimensional approximation for system of nonlinear monotone ill-posed equations in Banach spaces.