A class of new iterative methods for general mixed variational inequalities

Authors:
M. A. Noor
Affiliations:
Department of Mathematics and Statistics Dalhousie University Halifax, Nova Scotia, Canada, B3H 3J5
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2000

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Abstract

In this paper, we use the auxiliary principle technique to suggest a class of predictor-corrector methods for solving general mixed variational inequalities. The convergence of the proposed methods only requires the partially relaxed strongly monotonicity of the operator, which is weaker than co-coercivity. As special cases, we obtain a number of known and new results for solving various classes of variational inequalities and related problems.