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Lower Convergence of Minimal Sets in Star‐Shaped Vector Optimization Problems

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  • Rong Hu

Abstract

Let {An} be a sequence of nonempty star‐shaped sets. By using generalized domination property, we study the lower convergence of minimal sets Min An. The distinguishing feature of our results lies in disuse of convexity assumptions (only using star‐shapedness).

Suggested Citation

  • Rong Hu, 2014. "Lower Convergence of Minimal Sets in Star‐Shaped Vector Optimization Problems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:532195
    DOI: 10.1155/2014/532195
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    References listed on IDEAS

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    1. Hedy Attouch & Hassan Riahi, 1993. "Stability Results for Ekeland's ε-Variational Principle and Cone Extremal Solutions," Mathematics of Operations Research, INFORMS, vol. 18(1), pages 173-201, February.
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