Sentence examples for mappings is relatively from inspiring English sources

Here it may be pointed out that this class of generalized Lipschitzian mappings is relatively larger than the classes of nonexpansive, asymptotically nonexpansive, Lipschitzian, and uniformly k-Lipschitzian mappings.

In the absence of restrictions on which mappings are acceptable, such mappings are relatively easy to come by.

In Hilbert spaces, every nonexpansive mappings are relatively nonexpansive, and is the identity operator.

In principle, sister-disorders might be expected to result in diametric phenotypes to the extent that genotype phenotype mappings are relatively simple functions of gene copy number and diametric alterations to developmental-genetic pathways; for example, Bi et al. (2007) reported hypoactivity versus hyperactivity in mice with the RAI1 gene experimentally deleted versus duplicated.

Let M be a nonempty bounded closed convex subset of a Banach space E. Suppose that T : M → E and S : E → E are two sequentially weakly continuous mappings satisfying: (i) T ( M ) is relatively weakly compact,   (ii) S is a strict contraction,   (iii) if x = S x + T y, for some y ∈ M, then x ∈ M.  .

Let M be a nonempty bounded closed convex subset of a Banach space E. Suppose that T : M → E and S : E → E are two continuous mappings satisfying: (i) T ( M ) is relatively weakly compact and T satisfies (H1),   (ii) S is a strict contraction and S verifies (H2),   (iii) if x = S x + T y, for some y ∈ M, then x ∈ M.  .

The following is an example of a pair of non-commuting mappings that are relatively u-continuous and that are a cyclic Banach pair.

There is, of course, a clear caveat: Mapping resolution in all studies considered is relatively low and with >14,000 genes, only three major chromosomes, and the possibility that a large number of genes influence the trait, these QTL could overlap simply by chance.

It is easy to see that strongly relatively non-expansive mappings are weakly relatively non-expansive mappings.

Mapping diseases was relatively simple, as there exists a unique MeSH term for the majority of diseases in DisGeNET.

For a given countable family of relatively nonexpansive mappings, is there a single strongly relatively nonexpansive mapping such that its fixed-point set is identical to the set of common fixed points of the family?