Sentence examples for mapping has bounded from inspiring English sources

However, in this case the mapping has bounded orbits.

Stan Prus has given an example of a fixed point free nonexpansive mapping (actually an isometry) defined on H = ℓ ∞ which has bounded orbits.

They also showed the existence of explodable sets; this kind of sets has bounded hyperbolic area, but under a specific quasiconformal mapping its image has infinite hyperbolic area.

Since the space clbd ( X ) with the metric ρ cl is a subspace of clos ( X ), one can also apply the given definition to a map F : T → clbd ( X ), i.e., to a map having closed bounded images.

Suppose is bounded, then any nonexpansive mapping has a fixed point.

The U.S.O.C.'s flexibility has bounds, though.

We say that a mapping A has the bounded approximate fixed point property (or the BAFP property, for short) if there is a nonempty and bounded set (K_{0}subset K) such that for each (epsilon>0), A has an ϵ-approximate fixed point in (K_{0}), that is, a point (x_{epsilon} in K_{0}) which satisfies (rho(x_{epsilon},Ax_{epsilon}) leepsilon).

We say that the mapping A has the bounded approximate fixed point property (or the BAFP property, for short) if there is a nonempty and bounded set (K_{0} subset K) such that for each (epsilon>0), the mapping A has an ϵ-approximate fixed point in (K_{0}), that is, a point (x_{epsilon} in K_{0}) which satisfies (rho(x_{epsilon},A(x_{epsilon})) leepsilon).

Theorem 6.4 Let Q be a closed subset of a complete metric space ( X, ρ ), and suppose f : Q → Q is a mapping which has a bounded approximate fixed point sequence S. Assume that there exists ε > 0 such that ∀ c ∈ ( 0, α ( S ) + ε ) there exists δ > 0 such that [ F δ ( f, S ) × F δ ( f, S ) ] ∩ N ε c ( f, S ) = ∅.

Even mighty Apple is perceived as dramatically inferior (although Apple Maps has improved by leaps and bounds since its balky launch).

We have bounds for the uncertainty.