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Zbl 1006.49004
Giannessi, F.; Khan, A.A.
Regularization of non-coercive quasi variational inequalities.
(English)
[J] Control Cybern. 29, No.1, 91-110 (2000). ISSN 0324-8569

Summary: This paper is devoted to the regularization of quasi-variational inequalities. The quasi-variational inequality is considered with a multivalued operator. The operator involved is taken to be non-coercive and the data are assumed to be known approximately only. Under the assumption that the quasi-variational inequality be solvable, a weakly convergent approximation procedure is designed by means of the so-called Browder-Tikhonov regularization method.
MSC 2000:
*49J40 Variational methods including variational inequalities
47J20 Inequalities involving nonlinear operators
65J20 Improperly posed problems (numerical methods in abstract spaces)

Keywords: monotone and pseudo-monotone operators; quasi-variational inequalities; non-coercive; Browder-Tikhonov regularization

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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