Parametric Extended General Mixed Variational Inequalities
It is well known that the resolvent equations are equivalent to the extended general mixed variational inequalities. We use this alternative equivalent formulation to study the sensitivity of the extended general mixed variational inequalities without assuming the differentiability of the given data...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/201947 |
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| _version_ | 1832555430576914432 |
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| author | Muhammad Aslam Noor |
| author_facet | Muhammad Aslam Noor |
| author_sort | Muhammad Aslam Noor |
| collection | DOAJ |
| description | It is well known that the resolvent equations are equivalent to the extended general mixed variational inequalities. We use this alternative equivalent formulation to study the sensitivity of the extended general mixed variational inequalities without assuming the differentiability of the given data. Since the extended general mixed variational inequalities include extended general variational inequalities, quasi (mixed) variational inequalities and complementarity problems as special cases, results obtained in this paper continue to hold for these problems. In fact, our results can be considered as a significant extension of previously known results. |
| format | Article |
| id | doaj-art-aca897c4c76540ac8041dd7ba653d1a7 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-aca897c4c76540ac8041dd7ba653d1a72025-02-03T05:48:17ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/201947201947Parametric Extended General Mixed Variational InequalitiesMuhammad Aslam Noor0Mathematics Department, COMSATS Institute of Information Technology, Islamabad, PakistanIt is well known that the resolvent equations are equivalent to the extended general mixed variational inequalities. We use this alternative equivalent formulation to study the sensitivity of the extended general mixed variational inequalities without assuming the differentiability of the given data. Since the extended general mixed variational inequalities include extended general variational inequalities, quasi (mixed) variational inequalities and complementarity problems as special cases, results obtained in this paper continue to hold for these problems. In fact, our results can be considered as a significant extension of previously known results.http://dx.doi.org/10.1155/2012/201947 |
| spellingShingle | Muhammad Aslam Noor Parametric Extended General Mixed Variational Inequalities Journal of Applied Mathematics |
| title | Parametric Extended General Mixed Variational Inequalities |
| title_full | Parametric Extended General Mixed Variational Inequalities |
| title_fullStr | Parametric Extended General Mixed Variational Inequalities |
| title_full_unstemmed | Parametric Extended General Mixed Variational Inequalities |
| title_short | Parametric Extended General Mixed Variational Inequalities |
| title_sort | parametric extended general mixed variational inequalities |
| url | http://dx.doi.org/10.1155/2012/201947 |
| work_keys_str_mv | AT muhammadaslamnoor parametricextendedgeneralmixedvariationalinequalities |