A New Projection Algorithm for Generalized Variational Inequality

We propose a new projection algorithm for generalized variational inequality with multivalued mapping. Our method is proven to be globally convergent to a solution of the variational inequality problem, provided that the multivalued mapping is continuous and pseudomonotone with nonempty compact conv...

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Main Authors: Changjie Fang, Yiran He
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2010/182576
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spelling doaj-4e9b712a5e1349338ae2abeb74d4b9de2020-11-24T23:16:16ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-01201010.1155/2010/182576A New Projection Algorithm for Generalized Variational InequalityChangjie FangYiran HeWe propose a new projection algorithm for generalized variational inequality with multivalued mapping. Our method is proven to be globally convergent to a solution of the variational inequality problem, provided that the multivalued mapping is continuous and pseudomonotone with nonempty compact convex values. Preliminary computational experience is also reported. http://dx.doi.org/10.1155/2010/182576
collection DOAJ
language English
format Article
sources DOAJ
author Changjie Fang
Yiran He
spellingShingle Changjie Fang
Yiran He
A New Projection Algorithm for Generalized Variational Inequality
Journal of Inequalities and Applications
author_facet Changjie Fang
Yiran He
author_sort Changjie Fang
title A New Projection Algorithm for Generalized Variational Inequality
title_short A New Projection Algorithm for Generalized Variational Inequality
title_full A New Projection Algorithm for Generalized Variational Inequality
title_fullStr A New Projection Algorithm for Generalized Variational Inequality
title_full_unstemmed A New Projection Algorithm for Generalized Variational Inequality
title_sort new projection algorithm for generalized variational inequality
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2010-01-01
description We propose a new projection algorithm for generalized variational inequality with multivalued mapping. Our method is proven to be globally convergent to a solution of the variational inequality problem, provided that the multivalued mapping is continuous and pseudomonotone with nonempty compact convex values. Preliminary computational experience is also reported.
url http://dx.doi.org/10.1155/2010/182576
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AT yiranhe anewprojectionalgorithmforgeneralizedvariationalinequality
AT changjiefang newprojectionalgorithmforgeneralizedvariationalinequality
AT yiranhe newprojectionalgorithmforgeneralizedvariationalinequality
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