The multivalued penalty method for evolution variational inequalities with λ₀-pseudomonotone multivalued maps
We consider evolution variational inequalities with λ₀-pseudomonotone maps. The main properties of the given maps have been investigated. By using the finite differences method, strong solvability for the class of evolution variational inequalities with λ₀-pseudomonotone map has been proved. Usin...
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| Date: | 2007 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2007
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| Series: | Нелінійні коливання |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/177211 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The multivalued penalty method for evolution variational inequalities withλ₀-pseudomonotone multivalued maps / P.O. Kasyanov, V.S. Mel'nik, L. Toscano // Нелінійні коливання. — 2007. — Т. 10, № 4. — С. 481-509. — Бібліогр.: 24 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We consider evolution variational inequalities with λ₀-pseudomonotone maps. The main
properties of the given maps have been investigated. By using the finite differences method,
strong solvability for the class of evolution variational inequalities with λ₀-pseudomonotone
map has been proved. Using the penalty method for multivalued maps, the existence of weak
solutions for evolution variation inequalities on closed convex sets has been shown. The class
of multivalued penalty operators has been constructed. We also consider a model example to
illustrate the given theory. |
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