Nguyen Buong, Tran Thi Huong, Nguyen Thi Thu Thuy, “A quasi-residual principle in regularization for a common solution of a system of nonlinear monotone ill-posed equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, Number 3,Pages <nobr>55

This article is cited in 3 papers

A quasi-residual principle in regularization for a common solution of a system of nonlinear monotone ill-posed equations

Nguyen Buong^a, Tran Thi Huong^b, Nguyen Thi Thu Thuy^c

^a Vietnam Academy of Science and Technology, Institute of Information Technology, 18 Hoang Quoc Viet str., Hanoi, Vietnam
^b Thainguyen National University, Thainguyen College of Economics-Techniques, Thainguyen City, Vietnam
^c Thainguyen College of Sciences, Thainguyen University, Vietnam

Abstract: In this paper, we study the Browder–Tikhonov regularization method, for finding a common solution for a system of nonlinear ill-posed equations with potential, hemicontinuous and monotone mappings in Banach spaces. We give a principle, named quasi-residual, to choose a value of the regularization parameter and an estimate of convergence rates for the regularized solutions.

Keywords: monotone operators, hemi-continuous, strictly convex Banach space, Fréchet differentiable, the Browder–Tikhonov regularization method.

UDC: 517.988

Received: 23.03.2013