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A unified stability result with perturbations in vector optimization

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Abstract

In this paper, under the convergence of a sequence of sets in the sense of Wijsman, a stability result with perturbations is proposed by virtue of improvement set in vector optimization. The main results unify and extend some previously known results on weakly efficiency in vector optimization.

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Authors and Affiliations

  1. Department of Mathematics, Chongqing Normal University, Chongqing, 400047, China

    Ke Quan Zhao & Xin Min Yang

Authors
  1. Ke Quan Zhao
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  2. Xin Min Yang
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Corresponding author

Correspondence to Ke Quan Zhao.

Additional information

This work is partially supported by the National Science Foundation of China (Grants 11171363, 11126348), the Natural Science Foundation Project of Chongqing (Grants 2011BA0030), the Special Fund of Chongqing Key Laboratory (CSTC, 2011KLORSE02) and the Education Committee Research Foundation of Chongqing (KJ110625).

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Zhao, K.Q., Yang, X.M. A unified stability result with perturbations in vector optimization. Optim Lett 7, 1913–1919 (2013). https://doi.org/10.1007/s11590-012-0533-1

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  • DOI: https://doi.org/10.1007/s11590-012-0533-1

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