Sentence examples for mappings the same from inspiring English sources

By maintaining the same assumption on the set C and the inward condition of the involved map, it appears to be natural to ask for which classes of mappings the same result of Theorem 1 still holds.

To obtain the result for a countable family of relatively nonexpansive mappings, the same authors proved the following result.

We have mentioned that in a Hilbert space, m-d-accretive mappings and m-accretive mappings are the same, while in a non-Hilbertian Banach space, they are different.

As a final note on mapping, it was found that duplicate mappings, using the same MAQ map command (with default parameters), and the same reads and reference data yielded slightly different results.

In general, higher-order Lipschitz mappings are not reducible to lower-order Lipschitz mappings within the same metric space ((mathcal {X},d)).

It also extends the corresponding results of Dhomponsga and Panyanak [22] from the class of nonexpansive mappings to a more general class of non-Lipschitzian mappings in the same space setting.   5.

It also extends the corresponding results of Dhomponsga and Panyanak [22] from the class of nonexpansive mappings to a more general class of non-Lipschitzian mappings in the same space setting.

For each successful analogical mapping between two propositions (represented by a map node with high activation), the analogy network will typically contain several unsuccessful mappings involving the same two propositions (represented by map nodes with negative activations).

In [1] were given the conditions under which the function resulting from the sum of two maps belonging to a contractive class of mappings satisfies the same kind of contraction inequality.

This script does not count any read that maps to more than one reference sequences, and multiple mappings to the same reference sequence are only counted once.

We also define the concept of left-weakly related mappings on a preordered space and discuss common coupled fixed points for two and three left-weakly related mappings in the same space.