First-order methods for certain quasi-variational inequalities in a Hilbert space |
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| Authors: | I P Ryazantseva |
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| Institution: | (1) Nizhni Novgorod State Technical University, ul. Minina 24, Nizhni Novgorod, 603600, Russia |
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| Abstract: | Sufficient conditions are obtained for quasi-variational inequalities of a special type with nonlinear operators in a Hilbert space to be uniquely solvable. A first-order continuous method and its discrete variant are constructed for inequalities of this kind. The strong convergence of these methods is proved. |
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| Keywords: | quasi-variational inequalities first-order continuous method iterative method |
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