New classes of multivalued variational inequalities (Q2711301)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New classes of multivalued variational inequalities |
scientific article |
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6 May 2001
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multivalued variational inequalities
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projection technique
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fixed point problems
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Wiener-Hopf equations
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iterative algorithms
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New classes of multivalued variational inequalities (English)
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The authors introduce and study some new classes of multivalued variational inequalities. These classes are more general and include the previously known classes of variational inequalities and related optimization problems as special cases. Using the projection technique, they prove that multivalued variational inequalities are equivalent to the fixed point problems and the Wiener-Hopf equations. This equivalence is used to discuss the existence of the solution of the multivalued variational inequalities and suggest iterative algorithms for computing the approximate solutions. In particular, some open problems are suggested for research.NEWLINENEWLINEFor the entire collection see [Zbl 0958.00011].
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