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Proximal Methods for Mixed Quasivariational Inequalities
Authors:Noor  MA
Institution:(1) Etisalat College of Engineering, Sharjah, United Arab Emirates
Abstract:A proximal method for solving mixed quasivariational inequalities is suggested and analyzed by using the auxiliary principle technique. We show that the convergence of the proposed method requires only the pseudomonotonicity, which is a weaker condition than monotonicity. Since mixed quasivariational inequalities include variational and complementarity problems as special cases, the result proved in this paper continues to hold for these problems.
Keywords:Variational inequalities  auxiliary principle technique  proximal methods  convergence  skew-symmetric functions
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