Izv. Vyssh. Uchebn. Zaved. Mat., 2016, Number 3, Pages 55–64
This article is cited in 2 scientific papers (total in 2 papers)
A quasi-residual principle in regularization for a common solution of a system of nonlinear monotone ill-posed equations
Nguyen Buonga, Tran Thi Huongb, Nguyen Thi Thu Thuyc
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
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.
monotone operators, hemi-continuous, strictly convex Banach space, Fréchet differentiable, the Browder–Tikhonov regularization method.
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Russian Mathematics (Izvestiya VUZ. Matematika), 2016, 60:3, 47–55
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, no. 3, 55–64; Russian Math. (Iz. VUZ), 60:3 (2016), 47–55
Citation in format AMSBIB
\by Nguyen~Buong, Tran~Thi~Huong, Nguyen~Thi~Thu~Thuy
\paper A quasi-residual principle in regularization for a~common solution of a~system of nonlinear monotone ill-posed equations
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\jour Russian Math. (Iz. VUZ)
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