Sentence examples for presented the notions from inspiring English sources

Recently, Samet et al. [7] presented the notions of α-ψ-contractive and α-admissible mappings.

Afterward, Lakshmikantham and Ćirić [38] presented the notions of mixed g-monotone property and coupled coincidence point and proved coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in partially ordered complete metric spaces.

He presented the notion of an increase as an unadorned choice: that or devastating cuts to the state's education system.

Cruz, 43, has always presented himself as purely American and was unaware of possibly holding dual citizenship until the Dallas Morning News presented the notion to him last August – a concept Cruz does not dispute "at this point".

An American Romance scholar, Yakov Malkiel, presented the notion that words follow "trajectories"—by finding certain points in the history of a word, one can link up the developments in form and meaning.

These discussions presented the notion that similar situations would begin to be confronted in the "distant" future, but that future is now.

Bochner first presented the notion of almost automorphy in [6] as a natural extension of almost periodicity.

They presented the notion of connectivity robustness based on inter-vehicle distances, which can generate a locally computable function providing a sufficient reference for connectedness of the network.

In 1985 Fridy [2] presented the notion of a statistically Cauchy sequence and proved that it is equivalent to statistical convergence.

Huang and Zhang [1] presented the notion of convergence of sequences in cone metric spaces and proved some fixed point theorems.

To overcome these drawbacks, Mustafa and Sims [11] presented the notion of a G-metric space, which have received much attention since then.