Sentence examples for mappings under consideration from inspiring English sources

Moreover the mappings under consideration are α -admissible with respect to η.

We give conditions under which there is a unique fixed point depending differentiably on the parameters; the main difficulty is that the mappings under consideration become only differentiable after composition with appropriate embeddings on the scale of Banach spaces.

Remark 4 Real sequences applicable in Theorem CZ are λ n = 1 ( n + 1 ) a, θ n = 1 ( n + 1 ) b, where  0 < b < a  and  a + b < 1. Remark 5 We have shown in this section that a cumbersome recurrence relation is desirable and introduced only when a simpler recurrence formula is not available for the class of mappings under consideration.

It is interesting to note that in all the results obtained so far concerning common fixed points of hybrid mappings the (single-valued and multi-valued) mappings under consideration satisfy either the commutativity condition or one of its generalizations (see, for instance, [6 10]).

The convergent self-mappings under consideration satisfy conditions of either uniform or point-wise convergence, in a probabilistic sense, to a self-mapping on the same abstract space of the considered probabilistic metric space.

For a closer approach to the DCMC capacity, the regular modulations and mappings are not effective; thus, the irregular mapping optimization is under consideration.

Instead of using the exhaustive search for all mappings of 8PSK constellation, 86 unique mappings and 86 unique EXIT curves are now under consideration for the design of our optimization algorithm.

Throught the paper, we make a standing assumption on the mappings z = c Open image in new window under consideration, namely c ′ ( 0 ) > 0. Open image in new window (5).

If so, it immediately removes all unpaired mappings from consideration, as we prefer a paired mapping over an unpaired one.

The X-axis shows the read lengths under consideration in the different synthetic datasets, and the Y-axis shows the percentage of correct mappings achieved by HPG-Methyl.

The wedge under consideration is not assumed to be a cone, nor any continuity conditions are imposed on the mappings considered.