2019
Том 71
№ 11

All Issues

$V$-Limit Analysis of Vector-Valued Mappings

Kogut P. I., Rudyanova Т. M.

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Abstract

For an arbitrary net of mappings defined on subsets of the Hausdorff space (X, τ) and acting into a vector topological space (Y, τ) semiordered by a solid cone Λ, we introduce the notion of V-limit. We investigate topological and sequential properties of V-limit mappings and establish sufficient conditions for their existence. The results presented can be used as a basis for the procedure of averaging of problems of vector optimization.

English version (Springer): Ukrainian Mathematical Journal 52 (2000), no. 12, pp 1896-1912.

Citation Example: Kogut P. I., Rudyanova Т. M. $V$-Limit Analysis of Vector-Valued Mappings // Ukr. Mat. Zh. - 2000. - 52, № 12. - pp. 1661-1675.

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