Sentence examples for mentioned results of from inspiring English sources

Hussain et al. [12] proved following generalization of the above mentioned results of [21].

Following is the main result of this section which generalizes the above mentioned results of Ćirić, and Samet and Vetro.

Our results will be based on the mentioned results of Yang et al. In what follows, without further explanation, we assume that all integrals exist on the respective domains of their definitions.

Considering the above mentioned results of the training session, it would be a rather untenable proposition to explain the poor retention of the context-food and the context-VDS memories in terms of an insufficient positive or negative reinforcement, respectively, or in terms of a summation of opposite stimuli that would lead to a conflict of behaviours.

Overall, all of the intercepts obtained from the regressions analysis were significantly similar to 0 (P>0.10) and the slope, almost null (P>0.10), thus confirming the above mentioned results of the level of substitution on performance.

These findings are in agreement with the above mentioned results of the PCA-an independent unsupervised clustering method-where most of the gene clusters were found to be correlated, in particular Fosl2-Crem, Pex13-Cd3e-Nf2 Acsl4-Hmgcsmgcs1.

As a corollary we obtain the already mentioned result of Matthews (see also Corollary 2 of [8] and [21]).

Our next result is a generalization of the above mentioned result of Jungck [18], for the case of a weak contraction with respect to a wt-distance.

Considering the above remarks and the obvious inequality A_{n,r}leq rA_{n,1}quadtextit{for }rin mathbb{N} (17) our results also improve and generalize the mentioned result of Krasniqi [1].

The aim of this section is to extend the above mentioned result of Jungck to locally convex spaces and establish general common fixed point theorems for Caristi type maps in the setting of a locally convex space.

From Corollary 2.5, we get the following improvement of the above mentioned result of Gregori and Sapena [11] (note that for each t > 0 and h > 1, the sequence t n = th n is s-increasing).