Proximal Methods for Mixed Variational Inequalities

M.A. Noor
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M.A. Noor: Etisalat College of Engineering

Journal of Optimization Theory and Applications, 2002, vol. 115, issue 2, No 10, 447-452

Abstract: Abstract A proximal point method for solving mixed variational inequalities is suggested and analyzed by using the auxiliary principle technique. It is shown that the convergence of the proposed method requires only the pseudomonotonicity of the operator, which is a weaker condition than monotonicity. As special cases, we obtain various known and new results for solving variational inequalities and related problems. Our proof of convergence is very simple as compared with other methods.

Keywords: Variational inequalities; auxiliary principle technique; proximal methods; convergence (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (5)

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DOI: 10.1023/A:1020848524253

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