Sentence examples for mapping has at from inspiring English sources

Next, we will show that this mapping has at least one fixed point in.

If is a continuous mapping of into itself and is relatively compact, then the mapping has at least one fixed point (i.e., there exists an with ).

However, it is not true that any continuous mapping has at least one essential fixed point, even though the space has the fixed point property.

If there exists a growth function on which is a positive subsolution of (3.4) with and on a special exhaustion function, then the mapping has at least one asymptotic tract and, in particular, at least one curve on along which.

Using this method, we shall prove that a right regulated mapping has at most countable number of discontinuities, and that it can be approximated uniformly on compact intervals by step mappings with well-ordered steps.

In this setting, none of the theorems proved until now can be applied to guarantee that a nonlinear operator (even if it is a contractive mapping) has, at least, a fixed point.

Overall, 88%percentt of circuits with an identity mapping and 61%percentt of circuits with a transition mapping have at least one latent phenotype.

Then each nonexpansive map has at least one fixed point.

Clearly, any weakly Kannan map has at most one fixed point: if and, then (2.2).

It is well known that every measurable set-valued map has at least one measurable selection [8].

If is bounded closed and convex, and is an -contraction, then the map has at least one fixed point in.