Sentence examples for and utilize the same from inspiring English sources

and utilize the same to prove common fixed point theorems in metric spaces.

The puts spreads are identical in size and utilize the same strike prices in the July and August contracts.

We take the holistic pedestrian images as the input of ResNet-50 model and utilize the same preprocessing for each pedestrian image as mentioned in Section 2.1.

In this paper, we construct an iteration scheme involving a hybrid pair of nonexpansive mappings and utilize the same to prove some convergence theorems.

The new E Series Walkman players feature a similar stylish, compact design as the aforementioned S Series and utilize the same "Clear Audio" technology to produce very clean, high quality sound.

In this paper, we introduce yet another class of uniformly generalized Lipschitzian one-parameter semigroups of self mappings defined on bounded metric spaces equipped with uniform normal structure and utilize the same to prove our results.

In the present Øresund Link case study Danish and Swedish workers worked in cross-national work gangs, carried out the same types of tasks and utilized the same reporting procedures for occupational injuries.

Such efferent synapses were inhibitory and utilized the same ionic mechanisms found in early postnatal IHCs.

In metric spaces, Jungck [15] introduced the notion of compatible mappings and utilized the same (as a tool) to improve commutativity conditions in common fixed point theorems.

Interestingly, our results show that PCNA NEDDylation also occurs at Lys164 and utilizes the same E3 ligase RAD18, suggesting a close relationship between PCNA ubiquitination and NEDDylation.

In 1992, Beg et al. [36] proved some results on the existence of a common fixed point in the setting of a convex metric space and utilized the same to prove the best approximation results.