Proximal extragradient methods for pseudomonotone variational inequalities

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Published: Jun 30, 2006
DOI: https://doi.org/10.5556/j.tkjm.37.2006.154

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Muhammad Aslam Noor
Abdellah Bnouhachem

Abstract

We consider and analyze some new proximal extragradient type methods for solving variational inequalities. The modified methods converge for pseudomonotone operators, which is a weaker condition than monotonicity. These new iterative methods include the projection, extragradient and proximal methods as special cases.

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How to Cite
Noor, M. A., & Bnouhachem, A. (2006). Proximal extragradient methods for pseudomonotone variational inequalities. Tamkang Journal of Mathematics, 37(2), 109–116. https://doi.org/10.5556/j.tkjm.37.2006.154
Issue
Vol. 37 No. 2 (2006)
Section
Papers
Author Biographies

Muhammad Aslam Noor

Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan.

Abdellah Bnouhachem

School of Management Science and Engineering, Nanjing University, Nanjing, 210093, P. R. China.