Sentence examples for mapping with nonnegative from inspiring English sources

Let T : D → CB ( D ) be a closed and totally quasi-ϕ-asymptotically nonexpansive multi-valued mapping with nonnegative real sequences { v n }, { μ n } and a strictly increasing continuous function ζ : R + → R + with ζ ( 0 ) = 0.

Let T : D → C B ( D ) be a closed and quasi-ϕ-asymptotically nonexpansive multi-valued mapping with nonnegative real sequences { k n } with { k n } ⊂ [ 1, ∞ ) and k n → 1 (as n → ∞ ), then F ( T ) is a closed and convex subset of D. Proof Let { x n } be a sequence in F ( T ) such that x n → x ∗.

Let S : C → C be a closed and totally quasi-ϕ-asymptotically nonexpansive mapping with nonnegative real sequences { ν n } and { μ n } with ν n → 0 and μ n → 0 as n → ∞, respectively, and a strictly increasing continuous function ζ : R + → R + with ζ ( 0 ) = 0.

Let T: C → C be a closed and total quasi-ϕ-asymptotically nonexpansive mapping with nonnegative real sequences {ν n }, {μ n } and a strictly increasing continuous functions ς : R + → R + such that ν n → 0, μ n → 0 (as n → ∞) and ζ(0) = 0, and T is uniformly L- Lipschitzian.

Let S : C → C be a closed and total quasi-ϕ-asymptotically nonexpansive mapping with nonnegative real sequences ν n and μ n with ν n → 0, μ n → 0 as n → ∞ and a strictly increasing continuous function ζ : R + → R + with ζ ( 0 ) = 0.

Let T : C → C be a closed and totally quasi-ϕ-asymptotically nonexpansive mapping with nonnegative real sequences { ν n }, { μ n } and a strictly increasing continuous function ζ : R + → R + such that ν n, μ n → 0 and ζ ( 0 ) = 0.

Corollary 2. Let C be a nonempty closed convex subset of a real Hilbert spaces H. Let A : C → H be a monotone and k-Lipschitz continuous mapping and let S : C → C be a uniformly continuous asymptotically nonexpansive mapping in the intermediate sense with nonnegative null sequences {γ n } and {c n }.

Let S : C → C be a uniformly continuous asymptotically nonexpansive mapping in the intermediate sense with nonnegative null sequences {γ n } and {c n }.

Let G= V,E,w) be an undirected graph with nonnegative edge length function w and nonnegative vertex weight function r.

Let G be an undirected graph with nonnegative edge lengths.

Let G be an undirected 2-edge connected graph with nonnegative edge weights and a distinguished vertex z.