A Projection-Type Method for Multivalued Variational Inequality
We propose a projection-type method for multivalued variational inequality. The iteration sequence generated by the algorithm is proven to be globally convergent to a solution, provided that the multivalued mapping is continuous with nonempty compact convex values. Moreover, we present a necessary a...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/836720 |
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| _version_ | 1832564709661868032 |
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| author | Changjie Fang Shenglan Chen Jiming Zheng |
| author_facet | Changjie Fang Shenglan Chen Jiming Zheng |
| author_sort | Changjie Fang |
| collection | DOAJ |
| description | We propose a projection-type method for multivalued variational inequality. The iteration sequence generated by the algorithm is proven to be globally convergent to a solution, provided that the multivalued mapping is continuous with nonempty compact convex values. Moreover, we present a necessary and sufficient condition on the nonemptiness of the solution set. Preliminary computational experience is also reported. |
| format | Article |
| id | doaj-art-c4b9761fdf1a4adcb6dd0b72c89941fc |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c4b9761fdf1a4adcb6dd0b72c89941fc2025-02-03T01:10:22ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/836720836720A Projection-Type Method for Multivalued Variational InequalityChangjie Fang0Shenglan Chen1Jiming Zheng2Institute of Applied Mathematics, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaInstitute of Applied Mathematics, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaInstitute of Applied Mathematics, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaWe propose a projection-type method for multivalued variational inequality. The iteration sequence generated by the algorithm is proven to be globally convergent to a solution, provided that the multivalued mapping is continuous with nonempty compact convex values. Moreover, we present a necessary and sufficient condition on the nonemptiness of the solution set. Preliminary computational experience is also reported.http://dx.doi.org/10.1155/2013/836720 |
| spellingShingle | Changjie Fang Shenglan Chen Jiming Zheng A Projection-Type Method for Multivalued Variational Inequality Abstract and Applied Analysis |
| title | A Projection-Type Method for Multivalued Variational Inequality |
| title_full | A Projection-Type Method for Multivalued Variational Inequality |
| title_fullStr | A Projection-Type Method for Multivalued Variational Inequality |
| title_full_unstemmed | A Projection-Type Method for Multivalued Variational Inequality |
| title_short | A Projection-Type Method for Multivalued Variational Inequality |
| title_sort | projection type method for multivalued variational inequality |
| url | http://dx.doi.org/10.1155/2013/836720 |
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