Facebook Instagram Twitter RSS Feed PodBean Back to top on side

Characterization of quasi-continuity of multifunctions of two variables

In: Mathematica Slovaca, vol. 66, no. 1
Olena Fotiy - Oleksandr Maslyuchenko - Vasyľ Nesterenko

Details:

Year, pages: 2016, 281 - 286
Keywords:
multifunction, upper quasi-continuity, lower quasi-continuity, symmetrically upper quasi-continuity, symmetrically lower quasi-continuity, upper horizontally quasi-continuity, lower horizontally quasi-continuity
About article:
We prove that a compact-valued multifunction $F:X× Y \to Z$, where $X$ is a Baire space and $Y$, $Z$ are separable metrizable spaces, is quasi-continuous if and only if $F$ is horizontally quasi-continuous and there exists an residual subset $M$ of $X$ such that for any $x\in M$ the multifunction $Fx=F(x,·)$ is quasi-continuous on $Y$.
How to cite:
ISO 690:
Fotiy, O., Maslyuchenko, O., Nesterenko, V. 2016. Characterization of quasi-continuity of multifunctions of two variables. In Mathematica Slovaca, vol. 66, no.1, pp. 281-286. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0135

APA:
Fotiy, O., Maslyuchenko, O., Nesterenko, V. (2016). Characterization of quasi-continuity of multifunctions of two variables. Mathematica Slovaca, 66(1), 281-286. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0135
About edition:
Published: 1. 2. 2016