A Characterization of Quasiconvex Vector-valued Functions

  title={A Characterization of Quasiconvex Vector-valued Functions},
  author={Jo{\"e}l Benoist and Jonathan M. Borwein and Nicolae Popovici},
The aim of this paper is to characterize in terms of scalar quasiconvexity the vector-valued functions which are K-quasiconvex with respect to a closed convex cone K in a Banach space. Our main result extends a wellknown characterization of K-quasiconvexity by means of extreme directions of the polar cone of K, obtained by Dinh The Luc in the particular case when K is a polyhedral cone generated by exactly n linearly independent vectors in the Euclidean space Rn. 

From This Paper

Topics from this paper.
11 Citations
2 References
Similar Papers


Publications referenced by this paper.
Showing 1-2 of 2 references

Connectedness of the efficient point sets in quasiconcave vector maximization

  • D. T. Luc
  • J . Math . Anal . Appl .
  • 1993

A solvability theorem for a class of quasiconvex mappings with applications to optimization

  • W. Oettli V. Jeyakumar, M. Natividad
  • J . Math . Anal . Appl .
  • 1986

Similar Papers

Loading similar papers…