Sentence examples for of these mappings from inspiring English sources

LoQ uM can work with a wide range of alignment tools to run the aligner for the user, compile the mappings returned by the aligner, calibrate the quality of these mappings and return the list of mappings with more reliable mapping quality scores.

Since asymptotically nonexpansive and nonexpansive maps are asymptotically pointwise nonexpansive maps, all the so far obtained results also apply for any of these mappings.

For definitions of these mappings, see, for example, [18].

The importance of these mappings is well known.

All of these mappings take constant time and space relative to the problem size.

Before proving our convergence result for strict pseudo-contractions, we recall some properties of these mappings.

As it is pointed out in [1], the uniqueness of fixed points and convergence of iterates for these mappings directly follow if existence is guaranteed.

The aim of this paper is to introduce two classes of generalized α-ψ-contractive type mappings of integral type and to analyze the existence of fixed points for these mappings in complete metric spaces.

The aim of this paper is to introduce classes of α-admissible generalized contractive type mappings of integral type and to discuss the existence of fixed points for these mappings in complete metric spaces.

Takahashi et al. [1 7] gave the following definitions of nonlinear mappings and studied the existence and convergence theorems of fixed points for these mappings.

By using this integral identity, the authors derive some new inequalities of Simpson and Hermite Hadamard type for these mappings.