ON THE POSITIVE LINEAR SET VALUED MAPS

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Huseyin A., Huseyin N.

MISKOLC MATHEMATICAL NOTES, vol.14, no.1, pp.111-123, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 1
  • Publication Date: 2013
  • Doi Number: 10.18514/mmn.2013.431
  • Journal Name: MISKOLC MATHEMATICAL NOTES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.111-123
  • Keywords: positive linear set valued map, representation of set valued maps
  • Anadolu University Affiliated: Yes

Abstract

In this paper positive linear set valued maps defined on the cone are studied. The representation theorem for positive linear set valued maps is given and Lipschitz continuity of these maps is proved. The estimations of upper and lower norms of the positive linear set valued maps are obtained.