Fixpoint Theorem for Continuous Functions on Chain-Complete Posets

• Autorzy: Kazuhisa Ishida , Yasunari Shidama
• Języki publikacji: EN

Abstrakty

EN

This text includes the definition of chain-complete poset, fix-point theorem on it, and the definition of the function space of continuous functions on chain-complete posets [10].

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2010
• Tom: 18
• Numer: 1
• Strony: 47-51

Daty

wydano

2010-01-01

online

2011-01-05

Twórcy

autor

Kazuhisa Ishida

• Neyagawa-shi, Osaka, Japan

autor

Yasunari Shidama

• Shinshu University, Nagano, Japan

Bibliografia

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• [4] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.
• [5] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.
• [6] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.
• [7] Adam Grabowski. On the category of posets. Formalized Mathematics, 5(4):501-505, 1996.[WoS]
• [8] Piotr Rudnicki and Andrzej Trybulec. Abian's fixed point theorem. Formalized Mathematics, 6(3):335-338, 1997.
• [9] Wojciech A. Trybulec and Grzegorz Bancerek. Kuratowski - Zorn lemma. Formalized Mathematics, 1(2):387-393, 1990.
• [10] Glynn Winskel. The Formal Semantics of Programming Languages. The MIT Press, 1993.
• [11] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.
• [12] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.
• [13] Edmund Woronowicz and Anna Zalewska. Properties of binary relations. Formalized Mathematics, 1(1):85-89, 1990.
• [14] Mariusz Żynel and Czesław Byliński. Properties of relational structures, posets, lattices and maps. Formalized Mathematics, 6(1):123-130, 1997.

Identyfikatory

DOI

10.2478/v10037-010-0006-x