Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (1): 112-116.

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A New Browder Fixed Point Theorem in Noncompact Hyperconvex Metric Spaces and Its Applications to Section Questions and Intersection Questions

  

  1. Department of Mathematics, Bijie University
  • Received:2006-04-18 Online:2009-03-30 Published:2023-09-08
  • About author:WEN Kai-ting(1962- ), male, native of Dafang, Guizhou, a professor of Bijie University, M.S.D., engages in nonlinear analysis.
  • Supported by:
     Supported by the Scientific Research Foundation of Bijie University(20072001);

Abstract: In this paper, a new Browder fixed point theorem is established in the noncompact sub-admissible subsets of noncompact hyperconvex metric spaces. As application, a Ky Fan section theorem and an intersection theorem are obtained.

Key words: hyperconvex metric space, fixed point, sub-admissible set, noncompact measure, section, intersection

CLC Number: