Selections and approximations of convex-valued equivariant mappings

Zdzisław Dzedzej, Wojciech Kryszewski

Abstract


We present some abstract theorems on the existence of selections and graph-approximations of set-valued
mappings with convex values in the equivariant setting, i.e maps
commuting with the action of a compact group. Some known results
of the Michael, Browder and Cellina type are generalized to this
context. The equivariant measurable as well as Carathéodory
selection/approximation problems are also studied.

Keywords


Set-valued mapping; G-space; selection; graph-approximation

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