A minimax theorem for vector-valued functions in lexicographic order

作者：Li X B; Li S J^*; Fang Z M

来源：Nonlinear Analysis-Theory Methods & Applications, 2010, 73(4): 1101-1108.

DOI：10.1016/j.na.2010.04.047

• Minimax theorem
• Saddle point
• Lexicographic order
• C(lex)-uniformly same order

In this paper, a minimax theorem and a saddle point theorem are obtained for vector-valued functions in the sense of lexicographic order, respectively. An equivalent relations hip between the minimax in equality and the saddle point is established. Some examples are given to illustrate our results.

• 出版日期2010-8-15
• 单位重庆大学