Banach fixed-point theorem and Compact space

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Banach fixed-point theorem and Compact space

Banach fixed-point theorem vs. Compact space

In mathematics, the Banach fixed-point theorem (also known as the contraction mapping theorem or contraction mapping principle) is an important tool in the theory of metric spaces; it guarantees the existence and uniqueness of fixed points of certain self-maps of metric spaces, and provides a constructive method to find those fixed points. In mathematics, and more specifically in general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (that is, containing all its limit points) and bounded (that is, having all its points lie within some fixed distance of each other).

Similarities between Banach fixed-point theorem and Compact space

Banach fixed-point theorem and Compact space have 3 things in common (in Unionpedia): Complete metric space, Lipschitz continuity, Metric space.

Complete metric space

In mathematical analysis, a metric space M is called complete (or a Cauchy space) if every Cauchy sequence of points in M has a limit that is also in M or, alternatively, if every Cauchy sequence in M converges in M. Intuitively, a space is complete if there are no "points missing" from it (inside or at the boundary).

Banach fixed-point theorem and Complete metric space · Compact space and Complete metric space · See more »

Lipschitz continuity

In mathematical analysis, Lipschitz continuity, named after Rudolf Lipschitz, is a strong form of uniform continuity for functions.

Banach fixed-point theorem and Lipschitz continuity · Compact space and Lipschitz continuity · See more »

Metric space

In mathematics, a metric space is a set for which distances between all members of the set are defined.

Banach fixed-point theorem and Metric space · Compact space and Metric space · See more »

The list above answers the following questions

What Banach fixed-point theorem and Compact space have in common
What are the similarities between Banach fixed-point theorem and Compact space

Banach fixed-point theorem and Compact space Comparison

Banach fixed-point theorem has 25 relations, while Compact space has 146. As they have in common 3, the Jaccard index is 1.75% = 3 / (25 + 146).

References

This article shows the relationship between Banach fixed-point theorem and Compact space. To access each article from which the information was extracted, please visit:

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