|
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 yclin@mail.cmu.edu.tw 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 [ Fulltext-pdf (218 KB)] for subscribers only. |