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.
Citation
Yen-Cherng Lin. Qamrul Hasan Ansari. Hang-Chin Lai. "Minimax Theorems for Set-Valued Mappings under Cone-Convexities." Abstr. Appl. Anal. 2012 1 - 26, 2012. https://doi.org/10.1155/2012/310818
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