Proximal extragradient methods for pseudomonotone variational inequalities

Authors

  • Muhammad Aslam Noor
  • Abdellah Bnouhachem

DOI:

https://doi.org/10.5556/j.tkjm.37.2006.154

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.

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.

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Published

2006-06-30

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

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Papers