Abstract

The aim of this paper is to present several versions of vector variational principles related to some type of metrically consistent ε-efficiency and to the approximate necessary first order efficiency condition.

Author information

Contact details are reproduced from the original publication and may be historical.

S. Bolintinéanu

Faculté des Sciences, IREMIA, Université de La Réunion, 97715 Saint Denis, France

Keywords

  • Vector optimization
  • multicriteria optimization
  • epsilon-efficiency
  • stationary sequences
  • Kuhn-Tucker sequences
  • minimizing sequences
  • Pareto optimizing sequences
  • weakly efficient sequences
  • convex analysis
  • variational analysis
  • Ekeland variational principle

Suggested citation

S. Bolintinéanu. “Vector Variational Principles; ε-Efficiency and Scalar Stationarity.” Journal of Convex Analysis 8 (2001), No. 1, 71–85. https://doi.org/10.68381/jca08003

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Published by Heldermann Verlag, 2001. Rights now held by Banach Press.