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Second order sufficient optimality conditions in vector optimization


  • Ning E.
  • Wen Song


  • Yu Zhang


In this paper, we mainly consider second-order sufficient conditions for vector optimization problems. We first present a second-order sufficient condition for isolated local minima of order 2 to vector optimization problems and then prove that the second-order sufficient condition can be simplified in the case where the constrained cone is a convex generalized polyhedral and/or Robinson’s constraint qualification holds. Copyright Springer Science+Business Media, LLC. 2012

Suggested Citation

  • Ning E. & Wen Song & Yu Zhang, 2012. "Second order sufficient optimality conditions in vector optimization," Journal of Global Optimization, Springer, vol. 54(3), pages 537-549, November.
  • Handle: RePEc:spr:jglopt:v:54:y:2012:i:3:p:537-549
    DOI: 10.1007/s10898-011-9776-0

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