Abstract
In this paper, we introduce the concepts of $C$-quasiconcave mappings and properly $C$-quasiconcave mappings in abstract convex spaces. By using the Fan-Browder type fixed point theorem and the maximal element theorem, we establish some minimax theorems for vector-valued mappings in abstract convex spaces. We also give some examples to illustrate our results.
Citation
Ming-Ge Yang. Jiu-Ping Xu. Nan-Jing Huang. Su-Jane Yu. "MINIMAX THEOREMS FOR VECTOR-VALUED MAPPINGS IN ABSTRACT CONVEX SPACES." Taiwanese J. Math. 14 (2) 719 - 732, 2010. https://doi.org/10.11650/twjm/1500405816
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