Penalty methods for a system of constrained variational inequalities

Abstract : In this paper, using the penalty method in conjunction with graph-convergence, we study the existence of solutions for a class of generalized variational inequalities with variational problem constraints. Our results extend, improve and develop some known results in this field. Our method of proofs is very simple and does not use the hemicontinuity nor the pseudo-continuity properties of monotone operators.
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https://hal.univ-antilles.fr/hal-00776643
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Submitted on : Tuesday, January 15, 2013 - 8:30:13 PM
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Abdellatif Moudafi. Penalty methods for a system of constrained variational inequalities. Optimization Letters, Springer Verlag, 2012, 6 (3), pp.451-458. ⟨10.1007/s11590-010-0271-1⟩. ⟨hal-00776643⟩

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