Selections and approximations of convex-valued equivariant mappings
KeywordsSet-valued mapping, G-space, selection, graph-approximation
AbstractWe 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.
How to Cite
DZEDZEJ, Zdzisław & KRYSZEWSKI, Wojciech. Selections and approximations of convex-valued equivariant mappings. Topological Methods in Nonlinear Analysis [online]. 23 April 2012, T. 40, nr 2, s. 381–414. [accessed 6.2.2023].
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