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单词 Schauder Fixed Point Theorem
释义

Schauder Fixed Point Theorem

Let be a closed convex subset of a Banach Space and assume there exists a continuous Map sending to a countably compact subset of . Then has fixed points.


References

Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 543, 1980.

Schauder, J. ``Der Fixpunktsatz in Funktionalräumen.'' Studia Math. 2, 171-180, 1930.

Zeidler, E. Applied Functional Analysis: Applications to Mathematical Physics. New York: Springer-Verlag, 1995.


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