Metrizable space of multivalued maps

Authors

  • Mirosław Ślosarski Koszalin University of Technology, Koszalin

Keywords:

Diagram, pseudometric, dist-morphism, multivalued map determined by the dist-morphism, D-metric, metrizable space of multivalued maps

Abstract

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.

References

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Górniewicz, Lech, and Andrzej Granas. "Topology of morphisms and fixed point problems for set-valued maps." Fixed point theory and applications (Marseille, 1989), 173–191. Vol. 252 of Pitman Res. Notes Math. Ser. Harlow: Longman Sci. Tech., 1991.
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Ślosarski, Mirosław. "The multi-morphisms and their properties and applications." Ann. Univ. Paedagog. Crac. Stud. Math. 14 (2015): 5-25.
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Published

2021-09-13

How to Cite

Ślosarski, M. (2021). Metrizable space of multivalued maps. Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 20, 77–93. Retrieved from https://studmath.uken.krakow.pl/article/view/8523

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