Geodesic
On the convergence of iterative method for solving a variational inequality of the second kind with inversely strongly monotone operator
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 149 (2007) no. 4, pp. 90-100 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the paper the convergence of the iterative method for solving a variational inequality of the second kind with inversely strongly monotone operator in Hilbert space is investigated. The functional occurring in this variational inequality is a sum of several functionals. Each of these functionals is a superposition of lower semi-continuous convex proper functional and a linear continuous operator. Such variational inequalities arise, in particular, during mathematical modeling of stationary problems of filtration of a non-compressible fluid follows the nonlinear multi-valued anisotropic filtration law with limiting gradient. 
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     author = {I. N. Ismagilov and I. B. Badriev},
     title = {On the convergence of iterative method for solving a~variational inequality of the second kind with inversely strongly monotone operator},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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I. N. Ismagilov; I. B. Badriev. On the convergence of iterative method for solving a variational inequality of the second kind with inversely strongly monotone operator. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 149 (2007) no. 4, pp. 90-100. http://geodesic.mathdoc.fr/item/UZKU_2007_149_4_a6/

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