An algorithm for generalized variational inequality with pseudomonotone mapping

Authors:
Fenglian Li;Yiran He
Affiliations:
Department of Mathematics, Sichuan Normal University Chengdu, Sichuan 610068, China;Department of Mathematics, Sichuan Normal University Chengdu, Sichuan 610068, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

We suggest an algorithm for a variational inequality with multi-valued mapping. The iteration sequence generated by the algorithm is proven to converge to a solution, provided the multi-valued mapping is continuous and pseudomonotone with nonempty compact convex values.