Discrete fixed point theorem reconsidered

Discrete fixed point theorem reconsidered

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...

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Veröffentlicht in:Journal of mathematical economics 2005-12, Vol.41 (8), p.1030-1036
Hauptverfasser: Iimura, Takuya, Murota, Kazuo, Tamura, Akihisa
Format: Artikel
Sprache:eng
Schlagworte:
Discrete set
Economic theory
Fixed point theorem
Mathematical economics
Mathematical methods
Studies
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Zusammenfassung: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.
ISSN:0304-4068
1873-1538
DOI:10.1016/j.jmateco.2005.03.001