DIRECTIONAL CONVEX EXTENSIONS OF THE CONVEX VALUED MAPS

Duzce S. A., Guseinov K. G.

JOURNAL OF APPLIED ANALYSIS, vol.15, no.1, pp.129-138, 2009 (ESCI, Scopus)

  • Publication Type: Article / Article
  • Volume: 15 Issue: 1
  • Publication Date: 2009
  • Doi Number: 10.1515/jaa.2009.129
  • Journal Name: JOURNAL OF APPLIED ANALYSIS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.129-138
  • Keywords: Set valued map, directional convex extension, derivative set
  • Anadolu University Affiliated: Yes

Abstract

In this paper, the concept of directional convex extension of the convex valued maps is introduced. Necessary and sufficient conditions for the existence of the directional convex extension of the convex valued map are obtained.