Banach fixed-point theorem and T1 space

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

Difference between Banach fixed-point theorem and T1 space

Banach fixed-point theorem vs. T1 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 topology and related branches of mathematics, a T1 space is a topological space in which, for every pair of distinct points, each has a neighborhood not containing the other.

Similarities between Banach fixed-point theorem and T1 space

Banach fixed-point theorem and T1 space have 1 thing in common (in Unionpedia): Compact space.

Compact space

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).

Banach fixed-point theorem and Compact space · Compact space and T1 space · See more »

The list above answers the following questions

What Banach fixed-point theorem and T1 space have in common
What are the similarities between Banach fixed-point theorem and T1 space

Banach fixed-point theorem and T1 space Comparison

Banach fixed-point theorem has 25 relations, while T1 space has 50. As they have in common 1, the Jaccard index is 1.33% = 1 / (25 + 50).

References

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