Sentence examples for introduced the notation of from inspiring English sources

In order to obtain a unique supported model for these programs, they introduced the notation of dislocated metric space and generalized the Banach contraction principle in such spaces.

Recently, Li and Liu [4] introduced the notation of general weighted Bloch spaces (Stević called these the logarithmic Bloch-type spaces in [5]) in polydisk.

For improving this problem, Deschrijver et al. [5] modified the concept of intuitionistic fuzzy normed spaces and introduced the notation of ℒ-fuzzy normed space.

Next Deschrijver et al. [4] modified the concept of intuitionistic fuzzy normed spaces and introduced the notation of ℒ-fuzzy normed space.

Later, Bhaskar and Lakshmikantham [6] introduced the notation of coupled fixed point and proved some coupled fixed point results under certain conditions, in a complete metric space endowed with a partial order.

In [7], Long et al. introduced the notations of a-thin (with respect to the Schrödinger operator Sch a ) at a point, a-polar set (with respect to the Schrödinger operator Sch a ) and a-rarefied sets at infinity (with respect to the Schrödinger operator Sch a ), which generalized earlier notations obtained by Brelot and Miyamoto (see [8, 9]).

[22] introduce the notation of local density ρ ( r →, t ).

Before stating the lemma, however, we need to introduce the notation of [36].

In this section, we introduce the notation of generalized -mapping and a contractive condition called generalized -pair.

We also introduce the notation of a generalized probabilistic metric space and obtain common fixed point theorem in the frame work of such spaces.

In the derivations of the maps, we will make use of the PRCs of A and B which are defined in terms of P 0 and Q 0, the intrinsic periods of A and B. To simplify these derivations we introduce the notation of the "intrinsic phase" of neurons A and B which are defined, respectively, as ϕ n = d t n / P 0 (3.2a) θ n = d τ n / Q 0 (3.2b).