V-limit analysis of vector-valued mappings

被引：0

作者：

Kogut P.I. ^{[1
]}

Rudyanova T.M. ^{[2
]}

机构：

[1] Dnepropetrovsk Technical University of Railway Transport, Dnepropetrovsk

[2] Dnepropetrovsk Institute of Finances and Economics, Dnepropetrovsk

来源：

Ukrainian Mathematical Journal | 2000年 / 52卷 / 12期

关键词：

Topological Space; Vector Optimization; Vector Topological Space; Hausdorff Space; Sequential Property;

D O I：

10.1023/A:1010408010561

中图分类号：

学科分类号：

摘要：

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 A, 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. © 2000 Plenum Publishing Corporation.

引用

页码：1896 / 1912

页数：16

共 11 条

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