Fix Point Theorem for Compact Spaces

Journal of Formalized Mathematics
Volume 3, 1991
University of Bialystok
Copyright (c) 1991 Association of Mizar Users

Fix Point Theorem for Compact Spaces

Alicia de la Cruz: Universidad Politecnica de Madrid

Summary.

The Banach theorem in compact metric spaces is proved.

MML Identifier: ALI2

The terminology and notation used in this paper have been introduced in the following articles [10] [11] [1] [5] [8] [7] [12] [3] [9] [4] [2] [6]

Contents (PDF format)

Bibliography

[1] Grzegorz Bancerek. The ordinal numbers. Journal of Formalized Mathematics, 1, 1989.

[2] Leszek Borys. Paracompact and metrizable spaces. Journal of Formalized Mathematics, 3, 1991.

[3] Czeslaw Bylinski. Functions from a set to a set. Journal of Formalized Mathematics, 1, 1989.

[4] Agata Darmochwal. Compact spaces. Journal of Formalized Mathematics, 1, 1989.

[5] Agata Darmochwal. Finite sets. Journal of Formalized Mathematics, 1, 1989.

[6] Krzysztof Hryniewiecki. Basic properties of real numbers. Journal of Formalized Mathematics, 1, 1989.

[7] Stanislawa Kanas, Adam Lecko, and Mariusz Startek. Metric spaces. Journal of Formalized Mathematics, 2, 1990.

[8] Beata Padlewska. Families of sets. Journal of Formalized Mathematics, 1, 1989.

[9] Beata Padlewska and Agata Darmochwal. Topological spaces and continuous functions. Journal of Formalized Mathematics, 1, 1989.

[10] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.

[11] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.

[12] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.

Received July 17, 1991

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