REGULARIZATION FOR A SYSTEM OF INVERSE-STRONGLY MONOTONE OPERATOR EQUATIONS

Abstract

In this paper, we introduce a regularization process of nding a common element
of a system of operator equations for inverse-strongly monotone operators in real Banach
spaces, and then give a convergence theorem. The convergence rates of regularized solutions
are estimated by using a regularization parameter-choice that is based upon the generalized
discrepancy principle. Further, we consider an iterative regularization method of zero order
for solving system of inverse-strongly monotone operator equations in real Hilbert spaces.