Minimax Theorems for Set-Valued Mappings under Cone-Convexities
The aim of this paper is to study the minimax theorems for set-valued mappings with or without linear structure. We define several kinds of cone-convexities for set-valued mappings, give some examples of such set-valued mappings, and study the relationships among these cone-convexities. By using our...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/310818 |
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| _version_ | 1849406641405952000 |
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| author | Yen-Cherng Lin Qamrul Hasan Ansari Hang-Chin Lai |
| author_facet | Yen-Cherng Lin Qamrul Hasan Ansari Hang-Chin Lai |
| author_sort | Yen-Cherng Lin |
| collection | DOAJ |
| description | The aim of this paper is to study the minimax theorems for set-valued
mappings with or without linear structure. We define several kinds of cone-convexities
for set-valued mappings, give some examples of such set-valued mappings,
and study the relationships among these cone-convexities. By using our minimax
theorems, we derive some existence results for saddle points of set-valued mappings.
Some examples to illustrate our results are also given. |
| format | Article |
| id | doaj-art-558a062d5e934a328bb5ae6365cbf6f4 |
| 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-558a062d5e934a328bb5ae6365cbf6f42025-08-20T03:36:19ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/310818310818Minimax Theorems for Set-Valued Mappings under Cone-ConvexitiesYen-Cherng Lin0Qamrul Hasan Ansari1Hang-Chin Lai2Department of Occupational Safety and Health, College of Public Health, China Medical University, Taichung 404, TaiwanDepartment of Mathematics, Aligarh Muslim University, Aligarh 202 002, IndiaDepartment of Mathematics, National Tsing Hua University, Hsinchu 300, TaiwanThe aim of this paper is to study the minimax theorems for set-valued mappings with or without linear structure. We define several kinds of cone-convexities for set-valued mappings, give some examples of such set-valued mappings, and study the relationships among these cone-convexities. By using our minimax theorems, we derive some existence results for saddle points of set-valued mappings. Some examples to illustrate our results are also given.http://dx.doi.org/10.1155/2012/310818 |
| spellingShingle | Yen-Cherng Lin Qamrul Hasan Ansari Hang-Chin Lai Minimax Theorems for Set-Valued Mappings under Cone-Convexities Abstract and Applied Analysis |
| title | Minimax Theorems for Set-Valued Mappings under Cone-Convexities |
| title_full | Minimax Theorems for Set-Valued Mappings under Cone-Convexities |
| title_fullStr | Minimax Theorems for Set-Valued Mappings under Cone-Convexities |
| title_full_unstemmed | Minimax Theorems for Set-Valued Mappings under Cone-Convexities |
| title_short | Minimax Theorems for Set-Valued Mappings under Cone-Convexities |
| title_sort | minimax theorems for set valued mappings under cone convexities |
| url | http://dx.doi.org/10.1155/2012/310818 |
| work_keys_str_mv | AT yenchernglin minimaxtheoremsforsetvaluedmappingsunderconeconvexities AT qamrulhasanansari minimaxtheoremsforsetvaluedmappingsunderconeconvexities AT hangchinlai minimaxtheoremsforsetvaluedmappingsunderconeconvexities |