Using the Banach Contraction Principle to Implement the Proximal Point Method for Multivalued Monotone Variational Inequalities期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Using the Banach Contraction Principle to Implement the Proximal Point Method for Multivalued Monotone Variational Inequalities

Authors:	P. N. Anh L. D. Muu V. H. Nguyen J. J. Strodiot

Affiliation:	(1) Post and Telecommunications Institute of Technology, Hanoi, Vietnam;(2) Institute of Mathematics, Hanoi, Vietnam;(3) Unité dOptimisation, Département de Mathématique, Facultés Universitaires Notre Dame de la Paix, Namur, Belgium;(4) Unité dOptimisation, Département de Mathématique, Facultés Universitaires Notre Dame de la Paix, Namur, Belgium

Abstract:	We apply the Banach contraction-mapping fixed-point principle for solving multivalued strongly monotone variational inequalities. Then, we couple this algorithm with the proximal-point method for solving monotone multivalued variational inequalities. We prove the convergence rate of this algorithm and report some computational results.This work was completed during the stay of the second author at the Department of Mathematics, University of Namur, Namur, Belgium, 2003.

Keywords:	Multivalued monotone variational inequalities proximal-point algorithms Banach contraction-mapping fixed-point methods convergence rates
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