Sentence examples for mapping with nonempty from inspiring English sources

Let be a set valued mapping with nonempty closed convex values, and be the mappings.

Let be a mapping with nonempty -convex values, and let and be mappings and be a mapping such that, for each, is a closed, pointed, and convex cone in with.

Browder's fixed point theorem for mappings states that if (F Delta ^{n}times[0,1]multimapDelta^{n}) is an upper semicontinuous mapping with nonempty, convex, and compact values, then there is a compact connected subset (Esubset{(x, t) inDelta^{n}times[0,1]: xin F x,t)}) with (Ecap(Delta^{n}times{0} neqemptyset) and (Ecap(Delta^{n}times{1} neqemptyset) [3], p.29.

mapping with (nonempty) compact and convex values.

mapping with nonempty closed convex values, then is half-continuous.

Let be a set-valued mapping with nonempty values.

Let is a continuous set-valued mapping with nonempty closed contractible values, and is an upper semicontinuous set-valued mapping with nonempty closed acyclic values}.

Let (F Xrightarrow2^{Z}) be a set-valued mapping with nonempty values.

Let (F: X rightsquigarrow X) be a set valued mapping with nonempty closed and bounded values.

Let be a set-valued mapping with nonempty values and let be upper semicontinuous at.

Assume that is a set-valued mapping with nonempty valued and the following property holds: (3.5).