Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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COMMENTS ON HOU JICHENG'S "ON SOME KKM TYPE THEOREMS"

  • Park, Se-Hie (THE NATIONAL ACADEMY OF SCIENCES REPUBLIC OF KOREA, DEPARTMENT OF MATHEMATICAL SCIENCES, SEOUL NATIONAL UNIVERSITY)
  • Received : 2009.07.27
  • Published : 2010.07.31
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Abstract

In a paper by Hou Jicheng, On some KKM type theorems, Advaces in Mathematics 36 (2007), no. 1, 86-88, the author claimed that some previous KKM type theorems are false by giving a counterexample. In the present paper, we show that the counterexample does not work and, consequently, the results are correct. Moreover, we claim that the artificial concept like transfer compactly closed-valued maps can be destroyed. Finally, we introduce a theorem generalizing the main target of Hou.

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References

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