Sentence examples for map has at from inspiring English sources

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].

A consequence of the fact that each map has at most six quadratic terms is the following.

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

Then every compact continuous map has at least one of the following two properties: (A1) has a fixed point; (A2 there is an with for some.

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 ).

The brilliant imagery that Google Maps has at its disposal is being pushed to the forefront, running along the bottom of the page.

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.