On New Proximal Point Methods for Solving the Variational Inequalities

Muhammad Aslam Noor, Khalida Inayat Noor and Eisa Al-Said

Journal of Applied Mathematics, 2012, vol. 2012, 1-7

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:412413

DOI: 10.1155/2012/412413

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