Pseudomonotone Variational Inequalities: Convergence of Proximal Methods |
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Authors: | EL FAROUQ N. |
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Affiliation: | (1) Université Blaise Pascal, Clermont II and LAAS CNRS, Toulouse, France |
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Abstract: | In this paper, we study the convergence of proximal methods for solving pseudomonotone (in the sense of Karamardian) variational inequalities. The main result is given in the finite-dimensional case, but we show that we still obtain convergence in an infinite-dimensional Hilbert space under a strong pseudomonotonicity or a pseudo-Dunn assumption on the operator involved in the variational inequality problem. |
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Keywords: | variational inequalities pseudomonotonicity generalized monotonicity convergence of algorithms |
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