Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (8): 741-744.

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MAXIMAL ELEMENTS OF CONDENSING PREFERENCE MAPS IN LOCALLY CONVEX HAUSDORFF SPACES

Ding Xie-ping   

  1. Department of Mathematics; Sichuan Normal University, Chengdu
  • Received:1990-10-31 Online:1991-08-18 Published:1991-08-18
  • Supported by:
    Project Supported by the National Natural Science Foundation of China

Abstract: Two existence theorems of maximal elements of condensing preference maps in locally convex Hausdorff spaces are proved which generalize the recent results of Mehta. One of them positively answers the open problem mentioned by Mehta.

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