Pseudomonotone Variational Inequalities: Convergence of Proximal Methods

N. El Farouq
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N. El Farouq: Université Blaise Pascal

Journal of Optimization Theory and Applications, 2001, vol. 109, issue 2, No 4, 326 pages

Abstract: 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.

Keywords: variational inequalities; pseudomonotonicity; generalized monotonicity; convergence of algorithms (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1017562305308

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