The mappings were done based on 160 sero-positive cattle data.
Some important works on fixed point theorems for set valued and multivalued contraction mappings were done by Nadler [15] and Assad and Kirk [16].
Read mappings were done for all 50 bootstrap replicates so that a p-value could be computed.
Mapping analysis was done to observe the distribution of the elements on a selected area in composite electrocatalyst.
The second mapping process was done using more sensitive parameters that also allows for multiple mappings (novoalign -c 12 -r E 25 -e 100 -t 150).
In this article, our analysis is based on the method developed in [10] for the solution of Dirichlet problem and on the use of the contraction-mapping technique, analogously to what was done for the Eckhaus equation in [15].
This was done after the read-mapping step, to avoid a drop in coverage close to the start and stop positions of the coding sequence.
Orthologous search was done using the Phylogenetic Resources for the Interpretation of Genomes, PHRINGE [ 35], pipeline and the gene mappings between genomes.
In the recent past, some works in this direction for finding the solutions of the variational inequalities/inclusion problems and the fixed points of the nearly uniformly Lipschitzian mappings have been done, see, for example, [13, 20, 21].
If related to geometrical properties used as input parameters (for example, lengths, thicknesses, diameters or angles) the definition of parametric mappings can be done in a quite intuitive fashion.2 In the following we will identify Ω l = Ω o l ( μ ref ), 1 ≤ l ≤ L dom, and denote (11) the 'RB triangulation'; it will play an important role in the generation of the affine representation (6), (10).
