Sentence examples for mapping with domain from inspiring English sources

A mapping with domain and range in is called.

A mapping with domain and range in is called -strongly accretive if for each, (2.7).

A mapping with domain and in is called pseudocontractive if, for all, there exists such that (1.3).

On the other hand, let H be a real Hilbert space, and B be a set-valued mapping with domain D ( B ) : = { x ∈ H : B ( x ) ≠ ∅ }.

Let T be a mapping with domain (D(T)) and range (R(T)) in a normed space ((E,Vert cdot Vert )).

An n-functional is a real-valued mapping with domain A 1 × ⋯ × A n, where A 1, …, A n are linear manifolds of a linear n-normed space.

Thus, out of 209,165 PPIs in Pint, only 166,259 are usable, i.e. where each partner protein has at least one InterPro domain mapping with a domain length of at least 10 amino acids.

Let F(T) = {x ∈ E : Tx = x} be the set of all fixed point of a mapping T. Recall that a mapping T with domain D(T) and range R T) in Banach space E is called strongly pseudo-contractive if, for all x, y ∈ D(T), there exist k ∈ (0, 1) and j(x - y) ∈ J(x - y) such that T x - T y, j ( x - y ) ≤ k | | x - y | | 2 (2.1).

Furthermore, pseudocontractive mappings are related with the important class of nonlinear monotone mappings, where a mapping A with domain D ( A ) and range R ( A ) in H is called monotone if the inequality 〈 x − y, A x − A y 〉 ≥ 0, (1.6).

Interest in pseudocontractive mappings stems mainly from their firm connection with the important class of nonlinear monotone mappings, where a mapping A with domain (D(A) ) and range (R(A) ) in H is called monotone if langle Ax-Ay,x-yranglegeq0, quadforall x, y in D(A).

It is well known that there exists a close connection between pseudocontractions and the important class of nonlinear monotone mappings, where a mapping A with domain D ( A ) and range R ( A ) in H is called monotone if 〈 A x − A y, x − y 〉 ≥ 0, ∀ x, y ∈ D ( A ).