Sentence examples for mappings we can from inspiring English sources

By using the properties of the metric projection and m-accretive mappings, we can easily prove the following two lemmas.

In Theorem 3.1, as S and T are two nonexpansive mappings, demi-contractive mappings or asymptotically strict pseudocontraction mappings, we can also obtain similar results.

As a sample for five mappings, we can derive the following by setting one family of two members while the remaining three of single members.

As a sample for five mappings, we can derive the following by setting two families of two members, while the rest two of single members.

If (T_{1}, T_{2},ldots, T_{n} ) are averaged mappings, we can get that (T_{n}T_{n-1}cdots T_{1}) is averaged.

For a suitable choice of the mappings, we can obtain several known results [12 14, 17] as special cases of Theorem 3.2 and Theorem 4.3.

By using the random fuzzy mappings, and, we can define the three multivalued mappings, and as follows, respectively.

If funding agencies can be persuaded to follow this long road to its logical conclusion and support a 10 000-patient strong GWAS along with the necessary replication and fine-mapping efforts we can expect that most of the relevant common variation could be defined.

The purpose of this paper is to formulate the above definition in terms of two mappings so that we can prove existence and uniqueness of common fixed points for these mappings on a complete metric space.

Additionally by comparing with other heuristic mappings in Figure 6a, we can say the proposed scheme beats these mappings on the overall performance under this very condition of block size 600 with 5 iterations.

Since the class of nonspreading mappings for a general Banach space is different from the class of mappings satisfying condition (C), we can apply Proposition 2.5 and Proposition 3.3 to deduce Theorem 3.7 as follows: Corollary 3.8 Let X be a uniformly convex Banach space having Opial property.