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Fixed-point theorem

In mathematics, a fixed-point theorem is a result saying that a function F will have at least one fixed point (a point x for which F(x) = x), under some conditions on F that can be stated in general terms.

In algebra and discrete mathematics, In mathematical analysis & Overview

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In mathematical analysis

In algebra and discrete mathematics

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Fixed-point theorem

Nodes47
Edges46
Triples14
Avg. degree1.96
Density0.042553
Components1

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Fixed-point theorem

Top relations

related to List of fixed-point theorems · 8
Fixed-point theorem → Atiyah, Birkhoff, Bott, Hamilton, Kakutani, Nardzewski, Tarski, Witt
related to In mathematical analysis · 5
Fixed-point theorem → Brouwer, By, Euclidean, Sperner's, The Banach
is a · 1
Fixed-point theorem → result saying that a function F will have at least one fixed point

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Important terminology

fixed point theorem fixed-point function theory isbn points theorems also recursive used see number knaster tarski every metric result one

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Fixed-point theoremis aresult saying that a function F will have at least one fixed point0.90text
Fixed-point theoremrelated to In mathematical analysisThe Banach0.60section
Fixed-point theoremrelated to In mathematical analysisBy0.60section
Fixed-point theoremrelated to In mathematical analysisBrouwer0.60section
Fixed-point theoremrelated to In mathematical analysisEuclidean0.60section
Fixed-point theoremrelated to In mathematical analysisSperner's0.60section
Fixed-point theoremrelated to List of fixed-point theoremsAtiyah0.60section
Fixed-point theoremrelated to List of fixed-point theoremsBott0.60section
Fixed-point theoremrelated to List of fixed-point theoremsWitt0.60section
Fixed-point theoremrelated to List of fixed-point theoremsHamilton0.60section
Fixed-point theoremrelated to List of fixed-point theoremsTarski0.60section
Fixed-point theoremrelated to List of fixed-point theoremsBirkhoff0.60section

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