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On the transitivity of multifunctions and density of orbits in generalized topological spaces

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Abstract

The connection between transitivity and existence of a dense orbit for multifunctions \(\phi \: X\multimap X\) in generalized topological spaces is studied. Moreover strongly transitive multifunctions and functions in generalized topological spaces are investigated.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Łódź University, Banacha 22, 90-238, Łódź, Poland

    Anna Loranty & Ryszard J. Pawlak

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  1. Anna Loranty
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  2. Ryszard J. Pawlak
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Correspondence to Anna Loranty.

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Loranty, A., Pawlak, R.J. On the transitivity of multifunctions and density of orbits in generalized topological spaces. Acta Math Hung 135, 56–66 (2012). https://doi.org/10.1007/s10474-011-0149-4

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  • DOI: https://doi.org/10.1007/s10474-011-0149-4

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