Abstract
Using the level set method of Joó (Acta Math Hung 54(1–2):163–172, 1989), a general two-function topological minimax theorem are proved. The theorem improves and generalizes the known results shown by Cheng and Lin (Acta Math Hung 73(1–2):65–69, 1996), Lin and Cheng (Acta Math Hung 100(3):177–186, 2003), and Frenk and Kassay (Math Program Ser A 105(1):145–155, 2006).
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Acknowledgments
The author is grateful to the referee for the careful reading and many valuable suggestions. This work is supported partly by National Natural Science Foundation of China (No. 11201379), and Fundamental Research Funds for the Central Universities (JBK130401).
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Zhang, QB. General two-function topological minimax theorems. Ann Oper Res 217, 591–598 (2014). https://doi.org/10.1007/s10479-014-1539-0
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DOI: https://doi.org/10.1007/s10479-014-1539-0