Regularization Proximal Method for Monotone Variational Inclusions

Dang Hieu (), Pham Ky Anh () and Nguyen Hai Ha ()
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Dang Hieu: TIMAS - Thang Long University
Pham Ky Anh: Vietnam National University
Nguyen Hai Ha: University of Transport and Communications

Networks and Spatial Economics, 2021, vol. 21, issue 4, No 5, 905-932

Abstract: Abstract The paper concerns with a new iterative method for solving a monotone variational inclusion problem in a Hilbert space. The method is of the proximal contraction type incorporated with the regularization technique. Under the prediction stepsize conditions, we establish the strong convergence of the iterative sequences generated by the method to a particular solution of the problem satisfying a variational inequality problem. Finally, we give some numerical examples to illustrate the behavior of the new method in comparison with existing ones.

Keywords: Variational inclusion; Iterative method; Regularization; Monotonicity (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s11067-021-09552-7

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