Sentence examples for coincide with the notion from inspiring English sources

It is clear that they coincide with the notion of S-continuous due to Mashhour et al. [5].

Applying the above definitions of both upper and lower supra-continuous harmonic multifunctions to a single-valued function, it is clear that they coincide with the notion of S-continuous functions given by Mashhour et al. [11].

Note that these definitions coincide with the notions of statistical convergence and of statistical Cauchy definitions for the real sequences whenever (mathbb{T}) is taken as the natural numbers.

We observe that if the modulus function f satisfies lim t → ∞ f ( t ) t > 0 Open image in new window, then the notions I ( w ) Open image in new window and I ( N θ ) Open image in new window respectively coincide with the notions I ( w f ) Open image in new window and I ( N θ f ) Open image in new window.

We characterize the subsets Γ of C for which the notion of Γ-supercyclicity coincides with the notion of hypercyclicity, where an operator T on a Banach space X is said to be Γ-supercyclic if there exists x∈X such that Orb‾(Γx,T)="X.

It turns out that this notion coincides with the notion of compact almost automorphy (see Lemma 6).

This definition coincides with the notion of a nondecreasing function in the case and represents the usual total order in.

It is clear that the notion of fixed point coincided with the notion of best proximity point when the underlying mapping is a self-mapping.

It is clear that the notion of a fixed point coincided with the notion of a best proximity point when the underlying mapping is a self-mapping.

The above definition coincides with the notion of a nondecreasing function in the case where (X=mathbb{R}) and ⪯ represents the usual total order in (mathbb{R}).

This definition coincides with the notion of a nondecreasing function in the case where X = ℝ and ≤ represents the usual total order in ℝ. Remark 2.2.