Examples of 'fixed-point theorem' in a sentence

Meaning of "fixed-point theorem"

Fixed-point theorem: A mathematical principle that states a function will have at least one fixed point under certain conditions

How to use "fixed-point theorem" in a sentence

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fixed-point theorem
There are also modal analogues of the fixed-point theorem.
Strzelecki named the fixed-point theorem as one of the most interesting Stefan Banach 's achievements.
Brouwer disavowed his original proof of the fixed-point theorem.
In this case, the Brouwer fixed-point theorem follows almost immediately from the intermediate value theorem.
This is now called Kakutani fixed-point theorem.
Banach fixed-point theorem.
Brouwer makes a proof of the Brouwer fixed-point theorem.
Tychonoff fixed-point theorem.
The corresponding result for single-valued functions is the Tychonoff fixed-point theorem.
Lefschetz fixed-point theorem.
In predicate transformers semantics, invariant and variant are built by mimicking the Kleene fixed-point theorem.
Nielsen fixed-point theorem.
There is a closely related argument from algebraic topology, using the Lefschetz fixed-point theorem.
Brouwer fixed-point theorem.
Up to now, we have proved one of the assumptions for the fixed-point theorem.

See also

Kakutani fixed-point theorem.
Finally, we illustrate as a brilliant application of sperner 's lemma the famous brouwer 's fixed-point theorem.
Lefschetz fixed-point theorem Artin-Mazur zeta function.
This is equivalent to the Brouwer fixed-point theorem for dimension 2.
So by a fixed-point theorem ( specifically Bourbaki-Witt theorem ), there exists a fixed point for this iterative process.
That's just a fixed-point theorem.
Brouwer 's fixed-point theorem is a fixed-point theorem in topology, named after Luitzen Brouwer.
Ryll-Nardzewski fixed-point theorem.
Schauder fixed-point theorem.
Markov-Kakutani fixed-point theorem.
Caristi fixed-point theorem.
In mathematical analysis, the Kakutani fixed-point theorem is a fixed-point theorem for set-valued functions.
Kleene Fixed-Point Theorem.
In the finite-dimensional case, the Lefschetz fixed-point theorem provided from 1926 a method for counting fixed points.
The Brouwer fixed-point theorem ;.

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There are also modal analogues of the fixed-point theorem
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