A Regularized Parameter Choice in Regularization for a Common Solution of a Finite System of Ill-Posed Equations Involving Lipschitz Continuous and Accretive Mappings

摘要

In this paper, we present a regularized parameter choice in a new regularization method of Browder-Tikhonov type, for finding a common solution of a finite system of ill-posed operator equa- tions involving Lipschitz continuous and accretive mappings in a real reflexive and strictly convex Banach space with a uniformly Gateaux differentiate norm. An estimate for convergence rates of reg- ularized solution is also established.