TOPICS
Search

Banach Fixed Point Theorem


Let f be a contraction mapping from a closed subset F of a Banach space E into F. Then there exists a unique z in F such that f(z)=z.


See also

Fixed Point Theorem

Explore with Wolfram|Alpha

References

Debnath, L. and Mikusiński, P. Introduction to Hilbert Spaces with Applications. San Diego, CA: Academic Press, 1990.

Referenced on Wolfram|Alpha

Banach Fixed Point Theorem

Cite this as:

Weisstein, Eric W. "Banach Fixed Point Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BanachFixedPointTheorem.html

Subject classifications