REGULARIZATION METHODS FOR NONLINEAR ILL-POSED PROBLEMS WITH ACCRETIVE OPERATORS

• Published in: Acta Mathematica Scientia Vol. 28; no. 1; pp. 141 - 150
• Main Author: 王吉安 李景 刘振海
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 2008; School of Mathematical Science and Computing Technology, Central South University, Changsha,410075, China; Department of Mathematics, Changsha University of Science and Technology, Changsha,410076, China%Department of Mathematics, Changsha University of Science and Technology, Changsha,410076, China
• Subjects: convergence rates; ill-posed problems; nonlinear accretive operator; Regularization; 正则化; 病态问题; 非线性; ill-posed problems; nonlinear accretive operator; convergence rates; Regularization; conver-gence rates

This article is devoted to the regularization of nonlinear ill-posed problems with accretive operators in Banach spaces. The data involved are assumed to be known approximately. The authors concentrate their discussion on the convergence rates of regular solutions.