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2012 On New Proximal Point Methods for Solving the Variational Inequalities
Muhammad Aslam Noor, Khalida Inayat Noor, Eisa Al-Said
J. Appl. Math. 2012(SI03): 1-7 (2012). DOI: 10.1155/2012/412413

Abstract

It is well known that the variational inequalities are equivalent to the fixed point problem. We use this alternative equivalent formulation to suggest and analyze some new proximal point methods for solving the variational inequalities. These new methods include the explicit, the implicit, and the extragradient methods as special cases. The convergence analysis of the new methods is considered under some suitable conditions. Results proved in this paper may stimulate further research in this direction.

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Muhammad Aslam Noor. Khalida Inayat Noor. Eisa Al-Said. "On New Proximal Point Methods for Solving the Variational Inequalities." J. Appl. Math. 2012 (SI03) 1 - 7, 2012. https://doi.org/10.1155/2012/412413

Information

Published: 2012
First available in Project Euclid: 15 February 2012

zbMATH: 1235.65068
MathSciNet: MR2854975
Digital Object Identifier: 10.1155/2012/412413

Rights: Copyright © 2012 Hindawi

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Vol.2012 • No. SI03 • 2012
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