Some Predictor-Corrector Algorithms for Multivalued Variational Inequalities

M. A. Noor
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M. A. Noor: Dalhousie University

Journal of Optimization Theory and Applications, 2001, vol. 108, issue 3, No 10, 659-670

Abstract: Abstract In this paper, we use the auxiliary principle technique to suggest a new class of predictor-corrector algorithms for solving multivalued variational inequalities. The convergence of the proposed methods requires only the partially-relaxed strong monotonicity of the operator, which is weaker than cocoercivity. As special cases, we obtain a number of known and new results for solving various classes of variational inequalities.

Keywords: Variational inequalities; auxiliary principle; iterative methods; convergence (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1017543626630

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