# Selections and approximations of convex-valued equivariant mappings

@article{Dzedzej2012SelectionsAA, title={Selections and approximations of convex-valued equivariant mappings}, author={Zdzisław Dzedzej and W. Kryszewski}, journal={Topological Methods in Nonlinear Analysis}, year={2012}, volume={40}, pages={381-414} }

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 Caratheodory
selection/approximation problems are also studied.

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