# Fixpoint Theorem for Continuous Functions on Chain-Complete Posets

Kazuhisa Ishida; Yasunari Shidama

Formalized Mathematics (2010)

- Volume: 18, Issue: 1, page 47-51
- ISSN: 1426-2630

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topKazuhisa Ishida, and Yasunari Shidama. "Fixpoint Theorem for Continuous Functions on Chain-Complete Posets." Formalized Mathematics 18.1 (2010): 47-51. <http://eudml.org/doc/266929>.

@article{KazuhisaIshida2010,

abstract = {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].},

author = {Kazuhisa Ishida, Yasunari Shidama},

journal = {Formalized Mathematics},

language = {eng},

number = {1},

pages = {47-51},

title = {Fixpoint Theorem for Continuous Functions on Chain-Complete Posets},

url = {http://eudml.org/doc/266929},

volume = {18},

year = {2010},

}

TY - JOUR

AU - Kazuhisa Ishida

AU - Yasunari Shidama

TI - Fixpoint Theorem for Continuous Functions on Chain-Complete Posets

JO - Formalized Mathematics

PY - 2010

VL - 18

IS - 1

SP - 47

EP - 51

AB - 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].

LA - eng

UR - http://eudml.org/doc/266929

ER -

## References

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- [10] Glynn Winskel. The Formal Semantics of Programming Languages. The MIT Press, 1993.
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- [14] Mariusz Żynel and Czesław Byliński. Properties of relational structures, posets, lattices and maps. Formalized Mathematics, 6(1):123-130, 1997.

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