Solvability of Some Perturbed Generalized Variational Inequalities in Reflexive Banach Spaces
This paper aims to discuss the solvability of some perturbed generalized variational inequalities with both the mapping and the constraint set perturbed simultaneously in reflexive Banach spaces, under some coercivity conditions. In particular, a new result that the set is directional perturbed is p...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/3897495 |
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| _version_ | 1849307422705844224 |
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| author | Xue-ping Luo |
| author_facet | Xue-ping Luo |
| author_sort | Xue-ping Luo |
| collection | DOAJ |
| description | This paper aims to discuss the solvability of some perturbed generalized variational inequalities with both the mapping and the constraint set perturbed simultaneously in reflexive Banach spaces, under some coercivity conditions. In particular, a new result that the set is directional perturbed is presented. The main results generalize and extend some known results in this area. |
| format | Article |
| id | doaj-art-20aafeea38424465bdb8bb2012e533a0 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-20aafeea38424465bdb8bb2012e533a02025-08-20T03:54:47ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/38974953897495Solvability of Some Perturbed Generalized Variational Inequalities in Reflexive Banach SpacesXue-ping Luo0College of Computer Science and Technology, Southwest University for Nationalities, Chengdu 610041, ChinaThis paper aims to discuss the solvability of some perturbed generalized variational inequalities with both the mapping and the constraint set perturbed simultaneously in reflexive Banach spaces, under some coercivity conditions. In particular, a new result that the set is directional perturbed is presented. The main results generalize and extend some known results in this area.http://dx.doi.org/10.1155/2018/3897495 |
| spellingShingle | Xue-ping Luo Solvability of Some Perturbed Generalized Variational Inequalities in Reflexive Banach Spaces Journal of Function Spaces |
| title | Solvability of Some Perturbed Generalized Variational Inequalities in Reflexive Banach Spaces |
| title_full | Solvability of Some Perturbed Generalized Variational Inequalities in Reflexive Banach Spaces |
| title_fullStr | Solvability of Some Perturbed Generalized Variational Inequalities in Reflexive Banach Spaces |
| title_full_unstemmed | Solvability of Some Perturbed Generalized Variational Inequalities in Reflexive Banach Spaces |
| title_short | Solvability of Some Perturbed Generalized Variational Inequalities in Reflexive Banach Spaces |
| title_sort | solvability of some perturbed generalized variational inequalities in reflexive banach spaces |
| url | http://dx.doi.org/10.1155/2018/3897495 |
| work_keys_str_mv | AT xuepingluo solvabilityofsomeperturbedgeneralizedvariationalinequalitiesinreflexivebanachspaces |