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

Muhammad Aslam Noor and Khalida Inayat Noor

Journal of Applied Mathematics, 2012, vol. 2012, 1-8

Abstract:

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. Some special cases are also considered. Results can be viewed as refinement and improvement of previously known results.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:657278

DOI: 10.1155/2012/657278

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