Über die Existenz stetiger einzelwertiger Näherungen zusammengesetzter mengenwertiger Abbildungen mit konvexen kompakten Bildern. (On the existence of continuous single-valued approximations of multivalued mappings with convex compact images). (German) Zbl 0619.54013

Williamson, F.

Methods Oper. Res. 57, 439-450 (1987).

We prove an approximation property by single valued continuous mappings for a certain kind of set-valued mappings with non-convex images that may be useful for proving the existence of solutions for equations involving such mappings.

MSC:

54C60

Set-valued maps in general topology

Keywords:

approximation property; single valued continuous mappings; set-valued mappings; non-convex images