Sentence examples for be a nonexpansive operator from inspiring English sources

Let T be a nonexpansive operator.

Let (K : H_{1}rightarrow H_{1}) be a nonexpansive operator with (operatorname{Fix}(K capGammaneqemptyset).

T : X → X will be a nonexpansive operator, i.e., ∥ T ( x ) − T ( y ) ∥ ≤ ∥ x − y ∥. for all x, y ∈ X.

Let a nonlinear mapping (S : mathcal {V}rightarrowmathcal{V}) be a nonexpansive operator if |Su-Sv|leq|u-v|, quadforall u,vinmathcal{V}.

Let C be a nonempty closed convex subset of a real Hilbert space H and T : C → H be a nonexpansive operator.

Theorem 1.1 Let T be a nonexpansive operator on a normed space X, let M be a nonempty subset of X, T ( M ) ⊂ M and u ∈ F ( T ).

Throughout this paper, we always assume that T is a nonexpansive operator on H.

We also assume that (T : H to H) is a nonexpansive operator, that is, (| Tx - Ty | leq| x-y |) for all (x,y in H).

Let T: Ω × F → F be a nonexpansive random operator, f: Ω × F → F be a weakly contractive random operator, F is a nonempty convex subset of a separable Banach space X.

Here is a sample: Let ( X, 〈 ⋅, ⋅ 〉 ) be a real Hilbert space and let T : X → X be a nonexpansive potential operator.

The following result subsumes very well the spirit of the ones that we will establish in Section 3: Theorem 1.1 Let ( X, 〈 ⋅, ⋅ 〉 ) be a real Hilbert space and let T : X → X be a nonexpansive potential operator.