Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications
The aim of this paper is to study generalized vector quasi-equilibrium problems (GVQEPs) by scalarization method in locally convex topological vector spaces. A general nonlinear scalarization function for set-valued mappings is introduced, its main properties are established, and some results on the...
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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: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/916089 |
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| _version_ | 1832553628506783744 |
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| author | De-ning Qu Cao-zong Cheng |
| author_facet | De-ning Qu Cao-zong Cheng |
| author_sort | De-ning Qu |
| collection | DOAJ |
| description | The aim of this paper is to study generalized vector quasi-equilibrium problems (GVQEPs) by scalarization method in locally convex topological vector spaces. A general nonlinear scalarization function for set-valued mappings is introduced, its main properties are established, and some results on the existence of solutions of the GVQEPs are shown by utilizing the introduced scalarization function. Finally, a vector variational inclusion problem is discussed as an application of the results of GVQEPs. |
| format | Article |
| id | doaj-art-b189cedc4c7a417c8a5c5733deb215bb |
| 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-b189cedc4c7a417c8a5c5733deb215bb2025-02-03T05:53:38ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/916089916089Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with ApplicationsDe-ning Qu0Cao-zong Cheng1College of Applied Science, Beijing University of Technology, Beijing 100124, ChinaCollege of Applied Science, Beijing University of Technology, Beijing 100124, ChinaThe aim of this paper is to study generalized vector quasi-equilibrium problems (GVQEPs) by scalarization method in locally convex topological vector spaces. A general nonlinear scalarization function for set-valued mappings is introduced, its main properties are established, and some results on the existence of solutions of the GVQEPs are shown by utilizing the introduced scalarization function. Finally, a vector variational inclusion problem is discussed as an application of the results of GVQEPs.http://dx.doi.org/10.1155/2013/916089 |
| spellingShingle | De-ning Qu Cao-zong Cheng Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications Abstract and Applied Analysis |
| title | Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications |
| title_full | Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications |
| title_fullStr | Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications |
| title_full_unstemmed | Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications |
| title_short | Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications |
| title_sort | existence of solutions for generalized vector quasi equilibrium problems by scalarization method with applications |
| url | http://dx.doi.org/10.1155/2013/916089 |
| work_keys_str_mv | AT deningqu existenceofsolutionsforgeneralizedvectorquasiequilibriumproblemsbyscalarizationmethodwithapplications AT caozongcheng existenceofsolutionsforgeneralizedvectorquasiequilibriumproblemsbyscalarizationmethodwithapplications |