Journal of East China Normal University(Natural Sc ›› 2011, Vol. 2011 ›› Issue (5): 42-48.

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Minimax inequalities for vector-valued mappings

ZHANG Yu, CHEN Tao, XU Yan-dong   

  1. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
  • Received:2010-09-01 Revised:2010-12-01 Online:2011-09-25 Published:2011-11-22

Abstract: By using a kind of nonlinear scalarization functions and nonconvex separation theorems, under weaker assumptions, the minimax theorem for vector-valued mappings was established. An example was given to illustrate that the result improves the corresponding ones in the literatures.

Key words: nonlinear scalarization function, minimax inequality, vector-valued mapping

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