Minimax theorems for set-valued mappings under cone-convexities (Q1938165)
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scientific article; zbMATH DE number 6134059
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimax theorems for set-valued mappings under cone-convexities |
scientific article; zbMATH DE number 6134059 |
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Minimax theorems for set-valued mappings under cone-convexities (English)
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4 February 2013
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Summary: 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 are also given to illustrate our results .
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minimax theorems
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set-valued mappings
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cone-convexities
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saddle points
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