THE HIERARCHICAL MINIMAX THEOREMS

Yen-Cherng Lin

doi:10.11650/tjm.18.2014.3503

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Home > Journals > Taiwanese J. Math. > Volume 18 > Issue 2 > Article

2014 THE HIERARCHICAL MINIMAX THEOREMS

Yen-Cherng Lin

Taiwanese J. Math. 18(2): 451-462 (2014). DOI: 10.11650/tjm.18.2014.3503

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Abstract

We study the minimax theorems for set-valued mappings with several hierarchical process, and propose three versions for minimax theorems in topological vector spaces setting. These problems arise from some minimax theorems in the vector settings. As applications, we discuss the existences of two kinds of saddle points. Our results are new or include as special cases recent existing results.