In this article we define a metrizable space of multivalued maps. We show that the metric defined in this space is closely related to the homotopy of multivalued maps. Moreover, we study properties of this space and give a few practical applications of the new metric.
Górniewicz, Lech. Topological methods in fixed point theory of multivalued mappings. Dordrecht: Springer, 2006.
Górniewicz, Lech. "Homological methods in fixed point theory of multi-valued maps." Dissertationes Math. 129 (1976): 1-66.
Górniewicz, Lech. "Topological degree and its applications to differential inclusions." Raccolta di Seminari del Dipartimento di Matematica dell’Universita degli Studi della Calabria, March-April 1983.
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