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A note of stability of weakly efficient solution set for optimization with set-valued maps

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  • Luo Qun

Abstract

In this paper, we study the stability of weakly efficient solution sets for optimization problems with set-valued maps. We introduce the concept of essential weakly efficient solutions and essential components of weakly efficient solution sets. We first show that most optimization problems with set-valued maps (in the sense of Baire category) are stable. Secondly, we obtain some sufficient conditions for the existence of one essential weakly efficient solution or one essential component of the weakly efficient solution set .

Suggested Citation

  • Luo Qun, 2003. "A note of stability of weakly efficient solution set for optimization with set-valued maps," International Journal of Stochastic Analysis, Hindawi, vol. 16, pages 1-7, January.
    • Handle: RePEc:hin:jnijsa:329860
    DOI: 10.1155/S1048953303000212
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