Class 𝔄-KKM(X,Y,Z), General KKM Type Theorems, and Their Applications in Topological Vector Space
The class 𝔄-KKM(X,Y,Z) and generalized KKM mapping are introduced, and some generalized KKM theorems are proved. As applications, Ky Fan’s matching theorem and Fan-Browder fixed-point theorem are extended, and some existence theorems of solutions for the generalized vector equilibrium problems are e...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/238191 |
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| _version_ | 1832564026202128384 |
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| author | Gusheng Tang Qingbang Zhang |
| author_facet | Gusheng Tang Qingbang Zhang |
| author_sort | Gusheng Tang |
| collection | DOAJ |
| description | The class 𝔄-KKM(X,Y,Z) and generalized KKM mapping are introduced, and some generalized KKM theorems are proved. As applications, Ky Fan’s matching theorem and Fan-Browder fixed-point theorem are extended, and some existence theorems of solutions for the generalized vector equilibrium problems are established under noncompact setting, which improve and generalize some known results. |
| format | Article |
| id | doaj-art-f976e5fcb57a4516a9e707aeb0b2de79 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f976e5fcb57a4516a9e707aeb0b2de792025-02-03T01:12:09ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/238191238191Class 𝔄-KKM(X,Y,Z), General KKM Type Theorems, and Their Applications in Topological Vector SpaceGusheng Tang0Qingbang Zhang1School of Mathematics and Computing Science, Hunan University of Science and Technology, Xiangtan, Hunan 411201, ChinaCollege of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, Sichuan 611130, ChinaThe class 𝔄-KKM(X,Y,Z) and generalized KKM mapping are introduced, and some generalized KKM theorems are proved. As applications, Ky Fan’s matching theorem and Fan-Browder fixed-point theorem are extended, and some existence theorems of solutions for the generalized vector equilibrium problems are established under noncompact setting, which improve and generalize some known results.http://dx.doi.org/10.1155/2014/238191 |
| spellingShingle | Gusheng Tang Qingbang Zhang Class 𝔄-KKM(X,Y,Z), General KKM Type Theorems, and Their Applications in Topological Vector Space Abstract and Applied Analysis |
| title | Class 𝔄-KKM(X,Y,Z), General KKM Type Theorems, and Their Applications in Topological Vector Space |
| title_full | Class 𝔄-KKM(X,Y,Z), General KKM Type Theorems, and Their Applications in Topological Vector Space |
| title_fullStr | Class 𝔄-KKM(X,Y,Z), General KKM Type Theorems, and Their Applications in Topological Vector Space |
| title_full_unstemmed | Class 𝔄-KKM(X,Y,Z), General KKM Type Theorems, and Their Applications in Topological Vector Space |
| title_short | Class 𝔄-KKM(X,Y,Z), General KKM Type Theorems, and Their Applications in Topological Vector Space |
| title_sort | class 𝔄 kkm x y z general kkm type theorems and their applications in topological vector space |
| url | http://dx.doi.org/10.1155/2014/238191 |
| work_keys_str_mv | AT gushengtang classakkmxyzgeneralkkmtypetheoremsandtheirapplicationsintopologicalvectorspace AT qingbangzhang classakkmxyzgeneralkkmtypetheoremsandtheirapplicationsintopologicalvectorspace |