Abstract
Necessary and sufficient conditions for single-valued extensions of multivalued maps are discussed. Moreover, a quantitative version of a generalization of Dugundji's extension theorem for multivalued maps is obtained. Finally, the extension problem for compact maps is studied. Many of the results are new even for single-valued maps.
Citation
In-Sook Kim. Martin Väth. "Some results on the extension of single and multivalued maps." Topol. Methods Nonlinear Anal. 28 (1) 133 - 153, 2006.
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