Numerical approach to monotone variational inequalities by a one-step projected reflected gradient method with line-search procedure

In this paper we revisit a recent approach to classical monotone variational inequalities by means of a projected reflected gradient-type method in RN. A line-search procedure is incorporated for possible varying step-sizes and no Lipschitz-continuity condition on the operator is required. A main fe...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2016-08, Vol.72 (3), p.720-728
Main Author: Mainge, Paul-Emile
Format: Article
Language:English
Subjects:
Computer simulation
Feasibility
Inequalities
Iterative methods
Mathematical models
Mathematics
Monotone operator
Operators (mathematics)
Optimization and Control
Projected reflected method
Projection
Projection method
Variational inequality
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Summary:In this paper we revisit a recent approach to classical monotone variational inequalities by means of a projected reflected gradient-type method in RN. A line-search procedure is incorporated for possible varying step-sizes and no Lipschitz-continuity condition on the operator is required. A main feature of the proposed method is that it requires only one projection step onto the feasible set at each iteration.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2016.05.028