Sentence examples for mapping of order from inspiring English sources

Let A and B be two nonempty closed subsets of a metric space ((X,d)) such that (A cap B neqemptyset) and (T : A cup B rightarrow A cup B) be a cyclic generalized convex contraction mapping of order 2. Then T has the approximate fixed point property.

Let ((X,d)) be a metric space and (T : X rightarrow X) be an ((alpha, beta))-generalized convex contraction mapping of order 2. Assume that T is a cyclic ((alpha,beta))-admissible mapping and there exists (x_{0}in X) such that (alpha(x_{0}) geq1) and (beta(x_{0}) geq1).

Let f : R n 0 → R n be a positively homogeneous mapping of order ϰ > 0, i.e. f = τ ϰ f f o r a l l τ > 0, ξ ≠ 0. Assume that f ∈ C k ( R n 0 ) and that its Jacobian never vanishes on R n 0. Then f is bijective from R n 0 to R n 0, its global inverse satisfies f - 1 ∈ C k ( R n 0 ) and is positively homogeneous of order 1 / ϰ.

Denoting by and the trace map of order zero and the Neumann trace map on, respectively, we have (2.1).

Soil maps of Order I (1 7920), Order II (1 24,000) and Order IV (1 250,000) were independently obtained and examined in a Geographic Information System (GIS).

A map of ordered, joined sequences can result if sufficient BACs are end-sequenced [ 13].

The aim of this study is to demonstrate the feasibility of a micro-satellite mission for the accurate mapping of high order lunar harmonics, generated by density anomalies, on the hidden side of the Moon.

Let T be an increasing mapping of an ordered metric space (X:= X,preccurlyeq,rho)) into itself.

Let f be an increasing mapping of an ordered metric space (X:= X,preccurlyeq,rho)) into itself, where every increasing and decreasing sequence of iterates ({f^{n}(x)}_{ninBbb{N}cup{0}}) in X is a Cauchy sequence.

Let f be an increasing mapping of an ordered metric space (X:= X,preccurlyeq,A)) into itself, where every decreasing sequence of iterates ({f^{n}(x)}_{ninBbb{N}cup{0}}) in X is a Cauchy sequence.

The present study illustrates how mapping of higher-order categorical representation and of dysfunctional neural networks may help us to understand psychotic disorders from a neuroscience perspective.