Extremal elements in a hypercomplex space

Authors

  • M. V. Stefanchuk Institute of the Mathematics of the NAS of Ukraine, Kiev

DOI:

https://doi.org/10.15407/dopovidi2016.04.013

Keywords:

h-extremal beam, h-extremal point, h-hull of a set, H-quasiconvex set, hypercomplex convex set, strongly hypercomplex convex set

Abstract

Extremal elements and a h-hull of sets in the n-dimensional hypercomplex space Hn are investigated. The class of H-quasiconvex sets including strongly hypercomplex convex sets and being closed with respect to intersections is introduced.

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References

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Zelinskii Yu. B., Mkrtchyan G. A. Dokl. AN SSSR, 1990, 311, No 6: 1299–1302 (in Russian).

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Published

19.10.2024

How to Cite

Stefanchuk, M. V. (2024). Extremal elements in a hypercomplex space . Reports of the National Academy of Sciences of Ukraine, (4), 13–19. https://doi.org/10.15407/dopovidi2016.04.013