Geodesic
A quasi-residual principle in regularization for a~common solution of a~system of nonlinear monotone ill-posed equations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2016), pp. 55-64

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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. 
@article{IVM_2016_3_a5,
     author = {Nguyen Buong and Tran Thi Huong and Nguyen Thi Thu Thuy},
     title = {A quasi-residual principle in regularization for a~common solution of a~system of nonlinear monotone ill-posed equations},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {55--64},
     publisher = {mathdoc},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_3_a5/}
}
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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. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2016), pp. 55-64. http://geodesic.mathdoc.fr/item/IVM_2016_3_a5/