Sentence examples for mappings it from inspiring English sources

Even though we can efficiently find the highest scoring single/double regions from a given anchor set and its mappings, it is not possible to objectively compare scores of inferred single/double regions.

This implies that although in some cases SubMAP aggressively creates mappings in favor of covering many reactions, in a lot of the mappings, it provides the mapped reactions that do not share the same pathway.

Since our class of maps contains the class of nonspreading mappings, it also contains the class of firmly nonexpansive mappings.

By using viscosity approximation methods for a finite family of nonexpansive mappings, it is shown that for any given contractive mapping, where is a nonempty closed convex subset of and for any given the iterative scheme is strongly convergent to a solution of (CFP), if and only if and satisfy certain conditions, where and is a sunny nonexpansive retraction of onto.

For any sequence of mappings, it holds that (2.12).

Therefore, from the monotone property of the mappings,, it follows (2.26).

If it is a pair of occasionally weakly g-biased mappings, then it is WC.

Proof Let α, β : X × X → [ 0, + ∞ ) be the mapping defined by α ( x, y ) = β ( x, y ) = 1 for all x, y ∈ X. Then T is -contractive mappings. It is easy to show that all the hypotheses of Theorems 2.1 and 2.2 are satisfied. Consequently, T has a unique fixed point. □. Corollary 4.2 (Rhoades [17]).

In this paper, we use F ( T ) to denote the set of fixed points of T. Recall that T is said to be an α-contractive mapping iff there exists a constant α ∈ [ 0, 1 ) such that ∥ T x − T y ∥ ≤ α ∥ x − y ∥, ∀ x, y ∈ C. The Picard iterative process is an efficient method to study fixed points of α-contractive mappings. It is well known that α-contractive mappings have a unique fixed point.

Moreover, if the Automatic Differentiation is utilized for computing the tangent linear and adjoint mappings, then it could be applied to any multi-input 'black-box' system.

If the outer and inner limits of the mappings agree, it is said that their graphical limit,, exists.