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Published in:
2005 | OriginalPaper | Chapter
A Projection-Type Algorithm for Pseudomonotone Nonlipschitzian Multivalued Variational Inequalities
Authors : T. Q. Bao, P. Q. Khanh
Published in: Generalized Convexity, Generalized Monotonicity and Applications
Publisher: Springer US
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We propose a projection-type algorithm for variational inequalities involving multifunction. The algorithm requires two projections on the constraint set only in a part of iterations (one third of the subcases). For the other iterations, only one projection is used. A global convergence is proved under the weak assumption that the multifunction of the problem is pseudomonotone at a solution, closed, lower hemicontinuous, and bounded on each bounded subset (it is not necessarily continuous). Some numerical test problems are implemented by using MATLAB with encouraging effectiveness.