Selections and approximations of convex-valued equivariant mappings
Keywords
Set-valued mapping, G-space, selection, graph-approximationAbstract
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.Downloads
Published
2012-04-23
How to Cite
1.
DZEDZEJ, Zdzisław and KRYSZEWSKI, Wojciech. Selections and approximations of convex-valued equivariant mappings. Topological Methods in Nonlinear Analysis. Online. 23 April 2012. Vol. 40, no. 2, pp. 381 - 414. [Accessed 29 March 2024].
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