A System of Generalized Variational-Hemivariational Inequalities with Set-Valued Mappings
By using surjectivity theorem of pseudomonotone and coercive operators rather than the KKM theorem and fixed point theorem used in recent literatures, we obtain some conditions under which a system of generalized variational-hemivariational inequalities concerning set-valued mappings, which includes...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/305068 |
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| _version_ | 1832549784001445888 |
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| author | Zhi-bin Liu Jian-hong Gou Yi-bin Xiao Xue-song Li |
| author_facet | Zhi-bin Liu Jian-hong Gou Yi-bin Xiao Xue-song Li |
| author_sort | Zhi-bin Liu |
| collection | DOAJ |
| description | By using surjectivity theorem of pseudomonotone and coercive operators rather than the KKM theorem and fixed point theorem used in recent literatures, we obtain some conditions under which a system of generalized variational-hemivariational inequalities concerning set-valued mappings, which includes as special cases many problems of hemivariational inequalities studied in recent literatures, is solvable. As an application, we prove an existence theorem of solutions for a system of generalized variational-hemivariational inequalities involving integrals of Clarke's generalized directional derivatives. |
| format | Article |
| id | doaj-art-43b913367063491691cc6998e9ef2b37 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-43b913367063491691cc6998e9ef2b372025-02-03T06:08:36ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/305068305068A System of Generalized Variational-Hemivariational Inequalities with Set-Valued MappingsZhi-bin Liu0Jian-hong Gou1Yi-bin Xiao2Xue-song Li3Southwest Petroleum University, State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Chengdu, Sichuan 610500, ChinaSouthwest Petroleum University, The First National Gas Plant of ChangQing Oil Field Constituent Company, Xi'an, Shanxi 750001, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaDepartment of Mathematics, Sichuan University, Chengdu, Sichuan 610064, ChinaBy using surjectivity theorem of pseudomonotone and coercive operators rather than the KKM theorem and fixed point theorem used in recent literatures, we obtain some conditions under which a system of generalized variational-hemivariational inequalities concerning set-valued mappings, which includes as special cases many problems of hemivariational inequalities studied in recent literatures, is solvable. As an application, we prove an existence theorem of solutions for a system of generalized variational-hemivariational inequalities involving integrals of Clarke's generalized directional derivatives.http://dx.doi.org/10.1155/2013/305068 |
| spellingShingle | Zhi-bin Liu Jian-hong Gou Yi-bin Xiao Xue-song Li A System of Generalized Variational-Hemivariational Inequalities with Set-Valued Mappings Journal of Applied Mathematics |
| title | A System of Generalized Variational-Hemivariational Inequalities with Set-Valued Mappings |
| title_full | A System of Generalized Variational-Hemivariational Inequalities with Set-Valued Mappings |
| title_fullStr | A System of Generalized Variational-Hemivariational Inequalities with Set-Valued Mappings |
| title_full_unstemmed | A System of Generalized Variational-Hemivariational Inequalities with Set-Valued Mappings |
| title_short | A System of Generalized Variational-Hemivariational Inequalities with Set-Valued Mappings |
| title_sort | system of generalized variational hemivariational inequalities with set valued mappings |
| url | http://dx.doi.org/10.1155/2013/305068 |
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