Sentence examples for ordered gauge from inspiring English sources

Now, we shall recall some preliminaries on ordered gauge spaces and introduce some definitions.

Hence, is an ordered -space, and it will be called an ordered gauge space, see also [10, 11].

In this section, we present some fixed point theorems of integral-type on ordered gauge spaces, deduced from our previous obtained results.

Definition 2.6 Let ℱ = { d λ | λ ∈ A } be a family of pseudo-metrics on X. ( X, ℱ, ≼ ) is called an ordered gauge space if ( X, T is a gauge space and (X, ≼) is a partially ordered set.

Let ( X, ℱ, ≼ ) be an ordered gauge space.

We establish coincidence and fixed point theorems for mappings satisfying generalized weakly contractive conditions on the setting of ordered gauge spaces.

But these two war games were viewed as especially significant because they were ordered to gauge the stress and strain on the entire military structure worldwide should the president order it to conduct a major regional war anywhere.

The Chicago report's orders gauge climbed to 52.5, the highest level in a year, from 48 in July, and the production index rose to 52.9, from 43.3.

The forward-looking new orders gauge fell to 54.8 from 57.7, but the measure of employment rose to its highest since March, at 54.9 from 51.1.

On every point p such that ||∇I(p)||>0, the gradient and isophote form a local reference frame (p,g,t) corresponding to first-order gauge coordinates (see Fig. 1).

The Institute for Supply Management said its index of national factory activity slipped to 53.5 from 54.8 in April, just missing expectations for 53.9, but the new orders gauge improved to its highest level in over a year.