Sentence examples for mapping and define from inspiring English sources

Let be a continuous monotone mapping and define for all.

Let C be a nonempty, closed and convex set, let (T Cto H) be a mapping and define (h Ctomathbb{R}) as in (3).

Let T : C → C be a continuous pseudocontractive mapping and define an implicit iteration process { x n } by { x 0 ∈ C, x n = α n x n − 1 + ( 1 − α n ) T x n (1.3).

In present paper we introduce the concept of a new g-monotone mapping and define the notions of n-fixed point and n-coincidence point and prove some related theorems for nonlinear contractive mappings in partially ordered complete metric spaces.

Again, for all α ∈ A, τ F α Open image in new window is a group topology on F. If ψ α : F → F N Open image in new window be a canonical mapping and define τ F N α = { U ⊆ F N : ψ α − 1 ( U ) ∈ τ F α } Open image in new window.

For a nonexpansive mapping, and, defines a contraction mapping.

Recently, Moudafi and Maingé [2] studied the VI (1.2) by regularizing the mapping and defined as the unique fixed point of the equation (1.3).

Very recently, Lu et al. [3] studied the VI (1.2) by regularizing the mapping and defined as the unique fixed point of the equation (1.4).

We define controlled assembly maps, which factorize the Baum Connes assembly maps, and define the controlled Baum Connes conjecture.

The brain processes three-dimensional space similar to how modern gaming cameras map and define the difference between the floor, a couch and a wall, for example.

We calculate gradient map of the classification probability map and define three gradient-based constraints to evaluate the global loss.