Sentence examples for mapping with condition from inspiring English sources

Let E be a uniformly convex Banach space, C be a nonempty closed convex subset of E, and let T1, T2 : C → C be two nonexpansive mappings, and let S: C → C be a mapping with condition (C).

Let E be a uniformly convex and uniformly smooth Banach space with Opial's condition, C be a nonempty closed convex subset of E, and let T1, T2 : C → C be two nonexpansive mappings, and let S: C → C be a mapping with condition (C).

Let E be a uniformly convex Banach space with Opial's condition, C be a nonempty closed convex subset of E, and let T1, T2 : C → C be two nonexpansive mappings, and let S: C → C be a mapping with condition (C).

Let T : C → C be a mapping with condition (B) and Ω: = F(T) ∩ (EP) ≠ ∅.

The following theorem shows that Ballion's type Ergodic's theorem is also true for the mapping with condition (B).

Let C be a nonempty closed convex subset of a real Hilbert space H, and let T : C → C be a mapping with condition (B) and F(T) ≠ ∅.

Here, we also consider the Ishikawa iteration method for a mapping T with condition (C) and improve some conditions of Phuengrattana's result.

Furthermore, we observed that Phuengrattana [14] studied approximating fixed points of for a nonlinear mapping T with condition (C) by the Ishikawa iteration method on uniform convex Banach space with Opial property.

Israel's prime minister, Ariel Sharon, has showered the map with conditions.

Very recently, Ahmad and Rahaman [2] introduced the generalized vector equilibrium problem of finding (xin C) such that Fbigl(lambda x+ 1-lambda z,ybigr)nsubseteq-Csetminus{0}, quad forall y,zin C, lambdain(0,1], where (F:Ctimes Clongrightarrow2^{H}) is the set-valued mapping with the condition (F(lambda x+ 1-lambda z,ybigrseteq{0}), and ([cdot,z)) denotes the linsubseteq-Csetminus{0}he point z.

Let C be a nonempty closed convex subset of a complete uniformly convex hyperbolic space X with monotone modulus of uniform convexity η and let (T : C to C) be an (SKC -mapping with condition (I) and (F(T) neqphi).