Sentence examples for be a fixed contraction from inspiring English sources

Let V : C → C be a fixed contraction with α ∈ ( 0, 1 ).

Let S : C → C be a nonexpansive mapping with a fixed point, and f : C → C be a fixed contraction with the coefficient α ∈ ( 0, 1 ).

Let E be a real reflexive Banach space with the uniformly Gâteaux differentiable norm and the normal structure, and let C be a nonempty closed convex subset of E. Let T : C → C be a nonexpansive mapping with a fixed point, and let f : C → C be a fixed contraction with the coefficient α ∈ ( 0, 1 ).

Let E a real reflexive Banach space with the uniformly Gâteaux differentiable norm and the normal structure, and C be a nonempty closed convex subset of E. Let S : C → C be a nonexpansive mapping with a fixed point, and f : C → C be a fixed contraction with the coefficient α ∈ ( 0, 1 ).

In the existing literature, anchoring function f is a fixed contraction mapping [15, 17 19] or strongly pseudo-contraction mapping [20].

Recently, Chang et al. [13] introduced and studied the following viscosity iterative method: begin{aligned} &x_{n+1} = 1-alpha_{n})f ( x_{n} ) +alpha_{n}T^{n} y_{n}, &y_{n} = 1-alpha_{n}x_{n}+beta_{n}T^{n}x_{n}, quad ngeq1, end{aligned} (1.2) where T is an asymptotically nonexpansive mapping [14] and f is a fix_{ncontraction.

Let f : C → C be a fixed κ-contraction and let T r n = ( I + r n A F ) − 1.

Let (f Crightarrow C) be a fixed k-contraction and let (J_{r_{n}}=(I+r_{n}B)^{-1}).

Let f : C → C be a fixed κ-contraction and let J r n = ( I + r n B ) − 1.

Let x t be a fixed point of a contraction St ∋ x α tγf (x) + (I - tμF )Tx for t ∈ (0, 1) and.

Theorem 2.2 Let E be a reflexive Banach space which has a weakly continuous duality mapping J φ for some gauge φ, and let C be a nonempty closed and convex subset of E. Let T : C → C be a continuous pseudo-contraction and f : C → C be a fixed bounded, continuous and strong pseudo-contraction with the coefficient k ∈ ( 0, 1 ).