On existence of efficient solutions to vector optimization problems in Banach spaces

Authors

  • Peter I. Kogut
  • Rosanna Manzo
  • Igor V. Nechay

DOI:

https://doi.org/10.1285/i15900932v30n1p25

Keywords:

lower semicontinuity, vector-valued optimization, efficient solutions, partially ordered spaces

Abstract

In this paper, we present a new characterization of lower semicontinuity of vectorvalued mappings and apply it to the solvability of vector optimization problems in Banach spaces. With this aim we introduce a class of vector-valued mappings that is more wider than the class of vector-valued mappings with the "typical" properties of lower semi-continuity including quasi and order lower semi-continuity. We show that in this case the corresponding vector optimization problems have non-empty sets of efficient solutions.

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Published

07-06-2011

Issue

Volume 30, Issue 1 (2010)

Section

Articoli

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