Sentence examples for mapping is lower from inspiring English sources

Thus the mapping is lower semicontinuous.

It remains to show that the mapping is lower semicontinuous, that is, (4.10).

By Definition 2.2, we know that a weakly lower semicontinuous mapping is lower semicontinuous.

If, for each, the mapping is lower semicontinuous in, then condition is fulfilled.

We observe that if the mapping is upper semi-continuous, then not necessarily the mapping is lower semi-continuous.

Hence, for any and fixed, the mapping is lower semi-continuous (resp., weakly lower semi-continuous) on.

Another issue associated with the use of the mapping function is lower utility values for patients experiencing extreme health problems, as compared to the value set estimated from direct valuation.

(w 2 ) the map is lower semicontinuous; (w 3 ) for any there exists such that and imply.

Let be a closed subset of and let be a multivalued map with nonempty, closed values such that the map is lower semicontinuous.

A function is called - on if it satisfies the following for any : a map is lower semicontinuous; for any there exists such that and imply.

A function is called - on if it satisfies the following for each : a map is lower semicontinuous; that is, if there is a sequence in with, then ; for any there exists such that and imply.