Sentence examples for mappings may have from inspiring English sources

Our next example shows that if (C-1) does not hold, then the involved mappings may have no common fixed point.

But in the case of G-monotone pointwise contraction mappings, we may have more than one fixed point.

In so doing, this study calls for more engagement with the multi-modality aspect of visuality in mappings, which in turn may have implications for landscape design and planning.

The main difference between regulated mappings and right regulated mappings is that the latter ones may have discontinuities of the second kind, while regulated mappings can have only discontinuities of the first kind.

On the other hand, it is obvious that nontrivial nonexpansive mappings defined on unbounded sets may have fixed points.

The nonlinear mappings define a feature space, which may have infinite dimension.

Such mappings allow us to examine sets of events that may have led to the coevolution of the host and parasite phylogenies and are the basis of statistical tests for assessing congruence.

This seems to suggest that Melentsov may have identified conditions that imply the existence of fixed points for contractive mappings.

To the extent that the in silico to in vitro mappings shown in Fig. 1 are valid, we speculate that the analogue's phenotype may have an in vitro counterpart.

We have noted before that monotone Lipschitzian mappings may not be continuous because they fail to have nice global behavior.

We would like to point out that, in Theorem 3.11, the functional may not be convex, the mappings and may not have any monotonicity, and their domains and ranges are reflexive Banach space and the dual space of, respectively.