Faster access than browser!Similarities between Banach fixed-point theorem and Metric space
Banach fixed-point theorem and Metric space have 7 things in common (in Unionpedia): Cauchy sequence, Compact space, Complete metric space, Contraction mapping, Lipschitz continuity, Set (mathematics), Ultrametric space.
Cauchy sequence
In mathematics, a Cauchy sequence, named after Augustin-Louis Cauchy, is a sequence whose elements become arbitrarily close to each other as the sequence progresses.
Banach fixed-point theorem and Cauchy sequence · Cauchy sequence and Metric 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 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 · Complete metric space and Metric space ·
Contraction mapping
In mathematics, a contraction mapping, or contraction or contractor, on a metric space (M,d) is a function f from M to itself, with the property that there is some nonnegative real number 0\leq k such that for all x and y in M, The smallest such value of k is called the Lipschitz constant of f. Contractive maps are sometimes called Lipschitzian maps.
Banach fixed-point theorem and Contraction mapping · Contraction mapping and Metric space ·
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 · Lipschitz continuity and Metric space ·
Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
Banach fixed-point theorem and Set (mathematics) · Metric space and Set (mathematics) ·
Ultrametric space
In mathematics, an ultrametric space is a metric space in which the triangle inequality is strengthened to d(x,z)\leq\max\left\.
Banach fixed-point theorem and Ultrametric space · Metric space and Ultrametric space ·
The list above answers the following questions
- What Banach fixed-point theorem and Metric space have in common
- What are the similarities between Banach fixed-point theorem and Metric space
Banach fixed-point theorem and Metric space Comparison
Banach fixed-point theorem has 25 relations, while Metric space has 167. As they have in common 7, the Jaccard index is 3.65% = 7 / (25 + 167).
References
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