Proximal point methods for solving mixed variational inequalities on the Hadamard manifolds (Q443011)

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scientific article; zbMATH DE number 6063443
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Proximal point methods for solving mixed variational inequalities on the Hadamard manifolds
scientific article; zbMATH DE number 6063443

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    Proximal point methods for solving mixed variational inequalities on the Hadamard manifolds (English)
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    6 August 2012
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    Summary: 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.
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    mixed variational inequalities
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    proximal point methods
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    Hadamard manifolds
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