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2012 Some Proximal Methods for Solving Mixed Variational Inequalities
Muhammad Aslam Noor, Zhenyu Huang
Abstr. Appl. Anal. 2012(SI12): 1-9 (2012). DOI: 10.1155/2012/610852


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


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Muhammad Aslam Noor. Zhenyu Huang. "Some Proximal Methods for Solving Mixed Variational Inequalities." Abstr. Appl. Anal. 2012 (SI12) 1 - 9, 2012.


Published: 2012
First available in Project Euclid: 1 April 2013

zbMATH: 1242.49018
MathSciNet: MR2922934
Digital Object Identifier: 10.1155/2012/610852

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI12 • 2012
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