Relative rotation and variational inequalities

Relative rotation and variational inequalities

We introduce the notion of relative rotation of a multi-valued vector field generated by a monotone-type operator and obtain lower bounds for the number of solutions of variational inequalities. We establish conditions of topological nature that guarantee the strong convergence of the Galyorkin meth...

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Veröffentlicht in:Russian mathematics 2011-06, Vol.55 (6), p.37-45
Hauptverfasser: Klimov, V. S., Dem’yankov, N. A.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:We introduce the notion of relative rotation of a multi-valued vector field generated by a monotone-type operator and obtain lower bounds for the number of solutions of variational inequalities. We establish conditions of topological nature that guarantee the strong convergence of the Galyorkin method and the penalty method.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X11060065