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arXiv · 1411.4338

Conditional extragradient algorithms for solving variational inequalities

J. Y. Bello Cruz·R. Díaz Millán·Hung M. Phan
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Abstract

In this paper, we generalize the classical extragradient algorithm for solving variational inequality problems by utilizing nonzero normal vectors of the feasible set. In particular, conceptual algorithms are proposed with two different linesearchs. We then establish convergence results for these algorithms under mild assumptions. Our study suggests that nonzero normal vectors may significantly improve convergence if chosen appropriately.

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J. Y. Bello Cruz, R. Díaz Millán, Hung M. Phan. 2014-11-17. Conditional extragradient algorithms for solving variational inequalities. https://arxiv.org/abs/1411.4338

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