Sentence examples for be a comparison function from inspiring English sources

The function ξ satisfying (i) and (iv) is said to be a comparison function [29].

Recall that is said to be a comparison function if it is increasing and, as.

Recall also that is said to be a comparison function (see [6]) if it is increasing and.

A mapping φ : ℝ+→ ℝ+ is said to be a comparison function if it is increasing and φ k (t) → 0, as k → +∞.

Let φ : R + → R + be a comparison function, and let ε n be a sequence of positive numbers such that lim n → ∞ ε n = 0. Then lim n → ∞ ∑ k = 0 n φ n − k ( ε k ) = 0. Lemma 2.3 ([18]).

Also, we shall use the following contractive condition: Let ψ : R + → R + be a comparison function such that ∥ T i x − p ∥ ≤ ψ i ( ∥ S x − p ∥ ), ∀ x ∈ X  and  ∀ i ∈ N, (1.21).

Any b-comparison function is a comparison function.

Any ( c ) -comparison function is a comparison function;   2.

Since φ is an s-comparison function, sφ is a comparison function.

there is a comparison function φ : R + → R + such that.

where is a comparison function, that is, is increasing,, and as for each.