• Corpus ID: 126327315

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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