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Minimax Theorems for Set-Valued Mappings under Cone-Convexities

Author

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  • Yen-Cherng Lin
  • Qamrul Hasan Ansari
  • Hang-Chin Lai

Abstract

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.

Suggested Citation

  • Yen-Cherng Lin & Qamrul Hasan Ansari & Hang-Chin Lai, 2012. "Minimax Theorems for Set-Valued Mappings under Cone-Convexities," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-26, December.
    • Handle: RePEc:hin:jnlaaa:310818
    DOI: 10.1155/2012/310818
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