Geodesic
A first-order continuous method for the Antipin regularization of monotone variational inequalities in a Banach space
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 7, pp. 1184-1194

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The concept of a generalized projection operator onto a convex closed subset of a Banach space is modified. This operator is used to construct a first-order continuous method for the Antipin regularization of monotone variational inequalities in a Banach space. Sufficient conditions for the convergence of the method are found. 
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     author = {I. P. Ryazantseva},
     title = {A~first-order continuous method for the {Antipin} regularization of monotone variational inequalities in {a~Banach} space},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1184--1194},
     publisher = {mathdoc},
     volume = {46},
     number = {7},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_7_a2/}
}
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I. P. Ryazantseva. A first-order continuous method for the Antipin regularization of monotone variational inequalities in a Banach space. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 7, pp. 1184-1194. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_7_a2/