Proximal Point Methods for Solving Mixed Variational Inequalities on the Hadamard Manifolds

We use the auxiliary principle technique to suggest and analyze a proximal point method for solving the mixed variational inequalities on the Hadamard manifold. It is shown that the convergence of this proximal point method needs only pseudomonotonicity, which is a weaker condition than monotonicity...

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Bibliographic Details
Main Authors: Muhammad Aslam Noor, Khalida Inayat Noor
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/657278