Sentence examples for mapping with compact from inspiring English sources

Statement 2 is true since the restriction of the mapping z to the (compact) set ({pinoperatorname{int}Delta^{n}: p_{i}geq varepsilon _{2}, iin[n]}) is an upper semicontinuous mapping with compact values, and such mappings transform compact sets into compact sets [6], p.560.6.

By the compactness of K, we know that F is a set-valued mapping with compact values.

It is well known that any upper semicontinuous set-valued mapping with compact acyclic values is admissible, and the composition of two admissible mappings is also admissible; see [14].

mapping with compact values.

Theorem 4.2. is an upper semicontinuous mapping with compact values.

Then, is a set-valued mapping with compact values.

T is B-continuous mapping with compact-values on X × ∨; C is B-u.s.c on X and e ∈ intC is continuous on X.

Assume that (Hg)" and all the conditions of Theorem 3.1 holds and the following conditions are satisfied: (a) T is B-continuous mapping with compact-values on X × ∨;   (b) C is B-u.s.c on X and e ∈ intC is continuous on X.  .

map with compact values, then is compact.  .

map with compact values, then is compact.

For each, let be a closed map with compact values, and u.s.c.s.c