Regularization of non-coercive quasi variational inequalities. (English) Zbl 1006.49004

Giannessi, F.; Khan, A. A.

Control Cybern. 29, No. 1, 91-110 (2000).

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:

49J40	Variational inequalities
47J20	Variational and other types of inequalities involving nonlinear operators (general)
65J20	Numerical solutions of ill-posed problems in abstract spaces; regularization

Keywords:

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