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Minimax Theory and its Applications 01 (2016), No. 2, 245--256
Copyright Heldermann Verlag 2016

New Hierarchical Minimax Inequalities for Non-Continuous Set-Valued Mappings

Yen-Cherng Lin
Dept. of Occupational Safety and Health, College of Public Health, China Medical University, Taichung 40421, Taiwan

We study minimax inequalities of set-valued mappings that possess hierarchical structures, and we propose two versions of minimax inequalities under topological vector space settings. We provide some examples to illustrate these theories. Our new results can be compared with existing results.

Keywords: Minimax inequalities, hierarchical minimax theorems, hierarchical structures.

MSC: 49J35, 90C47

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