Sentence examples for mappings presented in from inspiring English sources

In brief, for suitable choices of the mappings presented in the problem (3.1) and the constants ρ, ν, one can obtain various new and previously known systems of variational inequalities and variational inclusions as special cases of the problem (3.1).

In particular, some significant best proximity point results for multivalued mappings are presented in [13]; see also the references therein.

Definition 3 Let T : X → X and α : X × X → [ 0, ∞ ). We say that T is α-admissible if for all x, y ∈ X, we have α ( x, y ) ≥ 1 ⟹ α ( T x, T y ) ≥ 1. Various examples of such mappings are presented in [23].

Let us note that some further results concerning repulsive and ejective fixed points for CA-mappings were presented in [15, 23, 24].

A best proximity point theorem for contractive mappings has been presented in [18].

More information as regards admissible mappings will be presented in the next section.

Mapping results are presented in table 1.

Therefore, via these mappings and the results presented in the previous section, we have probabilistic models for the generalized Horn fragments of the logics V of Lewis, NP of Delgrande and B of Burgess.

Semantic MDR keeps the mappings between SDTM and SALUS CDEs as presented in Table 2 in the next section, and SALUS CDEs have the extraction specifications to access the necessary information from the EHR data.

The mappings between these different QoE parameters are presented in Table 1.

First, both the number of correct mappings and the correctness ratios decrease for all alignments as compared with those presented in Table 1.