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If both and are upper semicontinuous with nonempty compact values, then the set-valued mapping defined by (1.8). is upper semicontinuous with nonempty compact values.
Then, is a set-valued mapping with compact values.
Then each nonexpansive set-valued mapping with compact values has a fixed point.
Note that every set-valued mapping with compact values always satisfies the proximal condition.
set-valued mapping with convex and compact values.
multi-valued map with nonempty, convex, compact values.
The set-valued mapping (F: Xtimes Y rightarrow2^{Z}) comes with nonempty compact values.
mapping with compact values.
multivalued mappings with compact values.
Therefore Γ has compact values.
It has non-empty compact values.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com