Geodesic
First-order methods for certain quasi-variational inequalities in a Hilbert space
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 2, pp. 189-196

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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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     author = {I. P. Ryazantseva},
     title = {First-order methods for certain quasi-variational inequalities in {a~Hilbert} space},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {189--196},
     publisher = {mathdoc},
     volume = {47},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_2_a2/}
}
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I. P. Ryazantseva. First-order methods for certain quasi-variational inequalities in a Hilbert space. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 2, pp. 189-196. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_2_a2/