Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (3): 385-389.

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A New GMλ-KKM Theorem and Its Application to Saddle Points

  

  1. Department of Computer Science, Bijie University
  • Received:2006-11-18 Online:2010-09-30 Published:2023-05-25
  • About author:WEN Kai-ting(1962- ), male, native of Dafang, Guizhou, a professor of Bijie University, M.D.S., engages in nonlinear analysis.
  • Supported by:
    Supported by the Natural Science Research Foundation of Guizhou Provincial Education Department(2008072)； Supported by the Natural Science Foundation of Science and Technology Bureau of Bijie Area(2008-06)；

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Abstract: In this paper, a new GMλ-KKM theorem is established for noncompact λ-hyperconvex metric spaces. As applications, the properties of the solution set of the variational inequality is shown and an existence theorem for saddle points is obtained.

Key words: λ-hyperconvex space, λ-sub-admissible set, noncompact measure, variational
inequality, saddle point

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