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Zbl 1086.47041
Liu, Zeqing; Hao, Yan; Lee, Sang Keun; Kang, Shin Min
On a system of general quasivariational-like inequalities.
(English)
[J] Math. Sci. Res. J. 9, No. 4, 92-100 (2005). ISSN 1537-5978

The authors study a system of quasivariational-like inequalities by showing that it is equivalent to a fixed point problem. This leads to existence and uniqueness of solutions as well as to algorithms involving approximate solutions.
[Dumitru Motreanu (Perpignan)]
MSC 2000:
*47J20 Inequalities involving nonlinear operators
49J40 Variational methods including variational inequalities
47J25 Methods for solving nonlinear operator equations (general)

Keywords: quasivariational-like inequalities; $\eta$-proximal mapping; perturbed algorithms

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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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