Regularization Proximal Method for Monotone Variational Inclusions

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...

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Bibliographic Details
Published in:	Networks and spatial economics Vol. 21; no. 4; pp. 905 - 932
Main Authors:	Van Hieu, Dang, Anh, Pham Ky, Ha, Nguyen Hai
Format:	Journal Article
Language:	English
Published:	New York Springer US 01-12-2021 Springer Nature B.V
Subjects:	Civil Engineering Economic activity Economics Economics and Finance Hilbert space Inclusions Inequality Iterative methods Mathematical programming Operations Research/Decision Theory Regional/Spatial Science Regularization Regularization methods Iterative method Regularization Variational inclusion Monotonicity
Online Access:	Get full text
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Summary:	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.
ISSN:	1566-113X 1572-9427
DOI:	10.1007/s11067-021-09552-7