Proximal Point Methods for Solving Mixed Variational Inequalities on the Hadamard Manifolds
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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.
2016 ◽
Vol 170
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pp. 916-931
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2004 ◽
Vol 2004
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pp. 3057-3067
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1998 ◽
Vol 11
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pp. 79-93
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2006 ◽
Vol 63
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pp. 553-565
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2011 ◽
Vol 18
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pp. 483-500
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