# American Institute of Mathematical Sciences

January  2013, 9(1): 1-12. doi: 10.3934/jimo.2013.9.1

## Generalized minimax theorems for two set-valued mappings

 1 College of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, Sichuan 611130, China 2 College of Applied Sciences, Beijing University of Technology, Beijing 100124, China, China

Received  July 2011 Revised  April 2012 Published  December 2012

The generalized minimax theorems of two real set-valued mappings, which generalize and improve the corresponding conclusions of D. Kuroiwa (Appl. Math. Lett., 1996, 9: 97-101.) and Li et.al.(J. Optim. Theory Appl., 2000, 106: 183-200; J. Math. Anal. Appl., 2003, 281: 707-723.), and the generalized minimax theorems of two set-valued mappings valued in Fréchet spaces are proved. Some examples are given also to show the results.
Citation: Qingbang Zhang, Caozong Cheng, Xuanxuan Li. Generalized minimax theorems for two set-valued mappings. Journal of Industrial & Management Optimization, 2013, 9 (1) : 1-12. doi: 10.3934/jimo.2013.9.1
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