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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 6, Pages 44–54
(Mi ivm7503)
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This article is cited in 2 scientific papers (total in 2 papers)
Relative rotation and variational inequalities
V. S. Klimov, N. A. Demyankov Chair of Mathematical Analysis, Yaroslavl State University, Yaroslavl, Russia
Abstract:
We introduce the notion of relative rotation of a multivalued vector field generated by a monotone-type operator. We obtain lower bounds for the number of solutions of variational inequalities. We establish conditions of topological nature that guarantee the strong convergence of the Galerkin method and the penalty one.
Keywords:
relative rotation, variational inequality, multivalued mapping, vector field, strong convergence.
Received: 06.02.2010
Citation:
V. S. Klimov, N. A. Demyankov, “Relative rotation and variational inequalities”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 6, 44–54; Russian Math. (Iz. VUZ), 55:6 (2011), 37–45
Linking options:
https://www.mathnet.ru/eng/ivm7503 https://www.mathnet.ru/eng/ivm/y2011/i6/p44
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Statistics & downloads: |
Abstract page: | 400 | Full-text PDF : | 97 | References: | 96 | First page: | 8 |
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