• 제목/요약/키워드: transfer compactly closedness

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COMMENTS ON HOU JICHENG'S "ON SOME KKM TYPE THEOREMS"

  • Park, Se-Hie
    • 대한수학회논문집
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    • 제25권3호
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    • pp.491-495
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    • 2010
  • 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.