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arXiv · 1804.09292

An Extragradient-type Algorithm for Variational Inequality on Hadamard Manifolds

E. E. A. Batista·G. C. Bento·O. P. Ferreira
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Abstract

The aim of this paper is to present an extragradient method for variational inequality associated to a point-to-set vector field in Hadamard manifolds and to study its convergence properties. In order to present our method the concept of $\epsilon$-enlargement of maximal monotone vector fields is used and its lower-semicontinuity is stablished in order to obtain the convergence of the method in this new context.

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E. E. A. Batista, G. C. Bento, O. P. Ferreira. 2018-04-24. An Extragradient-type Algorithm for Variational Inequality on Hadamard Manifolds. https://arxiv.org/abs/1804.09292

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