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Merit functions for general variational inequalities
Authors:Muhammad Aslam Noor
Institution:Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan
Abstract:In this paper, we consider some classes of merit functions for general variational inequalities. Using these functions, we obtain error bounds for the solution of general variational inequalities under some mild conditions. Since the general variational inequalities include variational inequalities, quasivariational inequalities and complementarity problems as special cases, results proved in this paper hold for these problems. In this respect, results obtained in this paper represent a refinement of previously known results for classical variational inequalities.
Keywords:Variational inequalities  Merit functions  Error bounds  Fixed-point
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