Discrete fixed point theorem reconsidered

Takuya Iimura, Kazuo Murota, Akihisa Tamura

Research output: Contribution to journalArticlepeer-review

36 Citations (Scopus)


The aim of this note is to indicate an example that demonstrates the incorrectness of Iimura's discrete fixed point theorem [Iimura, T., 2003. A discrete fixed point theorem and its applications. Journal of Mathematical Economics 39, 725-742] and to present a corrected statement using the concept of integrally convex sets.

Original languageEnglish
Pages (from-to)1030-1036
Number of pages7
JournalJournal of Mathematical Economics
Issue number8
Publication statusPublished - 2005 Dec


  • Discrete set
  • Fixed point theorem

ASJC Scopus subject areas

  • Economics and Econometrics
  • Applied Mathematics


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