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Bull. Korean Math. Soc. 2013; 50(5): 1639-1650
Printed September 1, 2013
https://doi.org/10.4134/BKMS.2013.50.5.1639
Copyright © The Korean Mathematical Society.
Minimax problems of uniformly same-order set-valued mappings
Yu Zhang and Shengjie Li
Yunnan University of Finance and Economics, Chongqing University
In this paper, a class of set-valued mappings is introduced, which is called uniformly same-order. For this sort of mappings, some minimax problems, in which the minimization and the maximization of set-valued mappings are taken in the sense of vector optimization, are investigated without any hypotheses of convexity.
Keywords: minimax theorem, cone loose saddle point, uniformly same-order mapping, vector optimization
MSC numbers: 49J35, 49K35, 90C47
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