Iterative Algorithms for General Multivalued Variational Inequalities
We introduce and study some new classes of variational inequalities and the Wiener-Hopf equations. Using essentially the projection technique, we establish the equivalence between these problems. This equivalence is used to suggest and analyze some iterative methods for solving the general multivalu...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/768272 |
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| Summary: | We introduce and study some new classes of variational inequalities and the Wiener-Hopf equations. Using essentially the projection technique, we establish the equivalence between these problems. This equivalence is used to suggest and
analyze some iterative methods for solving the general multivalued variational in
equalities in conjunction with nonexpansive mappings. We prove a strong convergence
result for finding the common element of the set of fixed points of a nonexpansive
mapping and the set of solutions of the general multivalued variational inequalities
under some mild conditions. Several special cases are also discussed. |
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| ISSN: | 1085-3375 1687-0409 |