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Zbl 1210.49011
Konnov, I.V.
On the convergence of a regularization method for variational inequalities. (Russian, English)
[J] Zh. Vychisl. Mat. Mat. Fiz. 46, No. 4, 568-575 (2006); translation in Comput. Math. Math. Phys. 46, No. 4, 541-547 (2006). ISSN 0044-4669

Summary: For variational inequalities in a finite-dimensional space, the convergence of a regularization method is examined in the case of a non-monotonous basic mapping. It is shown that a fairly general sufficient condition for the existence of solutions to the original problem also guarantees the convergence and existence of solutions to perturbed problems. Examples of applications to problems on order intervals are presented.

MSC 2000:: *49J40 Variational methods including variational inequalities
47J20 Inequalities involving nonlinear operators
47A52 Ill-posed problems etc.

Keywords: variational inequalities; regularization method; non-monotonous mapping; coercive condition; ordinal monotoneness

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