Set optimization using improvement sets

  • Mansi DHINGRA Department of Mathematics, University of Delhi, Delhi 110007, India
  • C. S. LALITHA Department of Mathematics, University of Delhi South Campus, Benito Jaurez Road, New Delhi 110021, India.

Abstract

In this paper we introduce a notion of minimal solutions for set-valued optimization problem, unifying a set criterion notion introduced by Kuroiwa [15] for set-valued
problems and a notion introduced by Chicco et al. [4] using improvement sets for vector optimization problems. For these solutions, we establish the existence and lower convergence in the sense of Painleve-Kuratowski.
Keywords Set-valued optimization Improvement set Painleve-Kuratowski convergence.

Published
2017-06-01
How to Cite
DHINGRA, Mansi; LALITHA, C. S.. Set optimization using improvement sets. Yugoslav Journal of Operations Research, [S.l.], v. 27, n. 2, p. 153-167, june 2017. ISSN 2334-6043. Available at: <https://yujor.fon.bg.ac.rs/index.php/yujor/article/view/143>. Date accessed: 05 dec. 2024.
Citation Formats
Issue
Vol 27 No 2 (2017)
Section
Articles
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