A GENERALIZED QUASI-RESIDUAL PRINCIPLE IN REGULARIZATION FOR A SOLUTION OF A FINITE SYSTEM OF ILL-POSED EQUATIONS IN BANACH SPACES

Abstract

In this paper we present a generalized quasi-residual principle to select a value for regularization parameter in the Browder–Tikhonov regularization method, for finding a solution of a system of ill-posed equations involving potential, hemicontinuous and monotone mappings on Banach spaces. An estimate of convergence rates for regularized solution is also established.