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.
Citation
Zdzisław Dzedzej. Wojciech Kryszewski. "Selections and approximations of convex-valued equivariant mappings." Topol. Methods Nonlinear Anal. 40 (2) 381 - 414, 2012.
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