Ukrainian Mathematical Journal

, Volume 52, Issue 12, pp 1896–1912 | Cite as

V-Limit Analysis of Vector-Valued Mappings

  • P. I. Kogut
  • T. M. Rudyanova


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.


Topological Space Vector Optimization Vector Topological Space Hausdorff Space Sequential Property 
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Copyright information

© Plenum Publishing Corporation 2000

Authors and Affiliations

  • P. I. Kogut
    • 1
  • T. M. Rudyanova
    • 2
  1. 1.Dnepropetrovsk Technical University of Railway TransportDnepropetrovsk
  2. 2.Dnepropetrovsk Institute of Finances and EconomicsDnepropetrovsk

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