Sentence examples for be a continuous monotone from inspiring English sources

Let be a continuous monotone mapping and define for all.

Let T be a continuous monotone mapping of K such that GVIP ( K, φ, T ) ≠ ∅.

Let (f: Xrightarrow X) be a continuous monotone (either order preserving or order reversing) mapping.

Let B be a continuous monotone mapping of C into E*.

Let f: C × C → ℝ be a bifunction and A: C →E* be a continuous monotone mapping.

Let A : C → E ∗ be a continuous monotone mapping satisfying (2.1), and u ∈ C be a constant.

where and is a continuous, monotone increasing function satisfying (3.5).

(a) is a continuous monotone nondecreasing function with if and only if, (b) is a lower semicontinuous function with if and only if. then there exists the unique point such that.

Let C be a nonempty closed convex subset of H. Assume that F : C × C → R satisfies (A1 - A4), B : C → H is a continuous monotone mapping and let φ : C → R be a lower semicontinuous and convex function.

Kohasaka and Takahashi [3] proved that if E is a smooth strictly convex and reflexive Banach space and B is a continuous monotone operator with B − 1 0 ≠ ∅, then J λ is a weak relatively nonexpansive mapping.

If is a smooth strictly convex and reflexive Banach space, and is a continuous monotone mapping with, then it is proved in [11] that, for is relatively weak nonexpansive.