Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces
Some new vectorial Ekeland variational principles in cone quasi-uniform spaces are proved. Some new equivalent principles, vectorial quasivariational inclusion principle, vectorial quasi-optimization principle, vectorial quasiequilibrium principle are obtained. Also, several other important principl...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/310369 |
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| author | Jiang Zhu Lei Wei Yeol Je Cho Cheng Cheng Zhu |
| author_facet | Jiang Zhu Lei Wei Yeol Je Cho Cheng Cheng Zhu |
| author_sort | Jiang Zhu |
| collection | DOAJ |
| description | Some new vectorial Ekeland variational principles in cone quasi-uniform spaces are proved. Some new equivalent principles, vectorial quasivariational inclusion principle, vectorial quasi-optimization
principle, vectorial quasiequilibrium principle are obtained. Also, several other important principles in nonlinear analysis are extended to cone quasi-uniform spaces. The results of this paper extend, generalize, and improve the corresponding results for Ekeland's variational principles of the directed vectorial perturbation type and other generalizations of Ekeland's variational principles in the setting of F-type topological space and quasi-metric spaces in the literatures. Even in usual real metric spaces, some of our results are new. |
| format | Article |
| id | doaj-art-09675fa32f8c42978afff427b0778063 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-09675fa32f8c42978afff427b07780632025-02-03T01:22:36ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/310369310369Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform SpacesJiang Zhu0Lei Wei1Yeol Je Cho2Cheng Cheng Zhu3School of Mathematical Science, Xuzhou Normal University, Xuzhou 221116, ChinaSchool of Mathematical Science, Xuzhou Normal University, Xuzhou 221116, ChinaDepartment of Mathematics and the RINS, Gyeongsang National University, Chinju 660-701, Republic of KoreaDepartment of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, ChinaSome new vectorial Ekeland variational principles in cone quasi-uniform spaces are proved. Some new equivalent principles, vectorial quasivariational inclusion principle, vectorial quasi-optimization principle, vectorial quasiequilibrium principle are obtained. Also, several other important principles in nonlinear analysis are extended to cone quasi-uniform spaces. The results of this paper extend, generalize, and improve the corresponding results for Ekeland's variational principles of the directed vectorial perturbation type and other generalizations of Ekeland's variational principles in the setting of F-type topological space and quasi-metric spaces in the literatures. Even in usual real metric spaces, some of our results are new.http://dx.doi.org/10.1155/2012/310369 |
| spellingShingle | Jiang Zhu Lei Wei Yeol Je Cho Cheng Cheng Zhu Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces Abstract and Applied Analysis |
| title | Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces |
| title_full | Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces |
| title_fullStr | Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces |
| title_full_unstemmed | Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces |
| title_short | Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces |
| title_sort | vectorial ekeland variational principles and inclusion problems in cone quasi uniform spaces |
| url | http://dx.doi.org/10.1155/2012/310369 |
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