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2012 Proximal Point Methods for Solving Mixed Variational Inequalities on the Hadamard Manifolds
Muhammad Aslam Noor, Khalida Inayat Noor
J. Appl. Math. 2012(SI03): 1-8 (2012). DOI: 10.1155/2012/657278

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.

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Muhammad Aslam Noor. Khalida Inayat Noor. "Proximal Point Methods for Solving Mixed Variational Inequalities on the Hadamard Manifolds." J. Appl. Math. 2012 (SI03) 1 - 8, 2012. https://doi.org/10.1155/2012/657278

Information

Published: 2012
First available in Project Euclid: 3 January 2013

zbMATH: 1244.49019
MathSciNet: MR2927273
Digital Object Identifier: 10.1155/2012/657278

Rights: Copyright © 2012 Hindawi

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Vol.2012 • No. SI03 • 2012
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