Abstract
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.
Citation
Jarosław Mederski. "Graph approximations of set-valued maps under constraints." Topol. Methods Nonlinear Anal. 39 (2) 361 - 389, 2012.
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