Graph approximations of set-valued maps under constraints
Keywords
Fiberwise retraction, fiberwise absolute neighbourhood extensor over B, locally n-connected space, set-valued mapAbstract
In the paper we study the existence of constrained graph approximations of set-valued maps with non-convex values. We prove, in particular, that any open neighbourhood of the graph of a map satisfying the so-called topological tangency assumptions contains a graph of constrained continuous single-valued map provided that the domain is finite-dimensional.Downloads
Published
2012-04-23
How to Cite
1.
MEDERSKI, Jarosław. Graph approximations of set-valued maps under constraints. Topological Methods in Nonlinear Analysis. Online. 23 April 2012. Vol. 39, no. 2, pp. 361 - 389. [Accessed 19 April 2024].
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