Generalized Hadamard well-posedness for infinite vector optimization problems

Z. Y. Peng, X. J. Long, X. F. Wang, Y. B. Zhao

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper, we study the generalized Hadamard well-posedness of infinite vector optimization problems (IVOP). Without the assumption of continuity with respect to the first variable, the upper semicontinuity and closedness of constraint set mappings are established. Under weaker assumptions, sufficient conditions of generalized Hadamard well-posedness for IVOP are obtained under perturbations of both the objective function and the constraint set. We apply our results to the semi-infinite vector optimization problem and the semi-infinite multi-objective optimization problem.

Original languageEnglish
Pages (from-to)1563-1575
Number of pages13
JournalOptimization
Volume66
Issue number10
Early online date12 Jul 2017
DOIs
Publication statusPublished - 3 Oct 2017

Keywords

  • C-upper semicontinuous
  • cusco
  • efficient solution
  • generalized Hadamard well-posedness
  • Infinite vector optimization problem
  • semistrictly K-quasiconvex

ASJC Scopus subject areas

  • Control and Optimization
  • Management Science and Operations Research
  • Applied Mathematics

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