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

Luo Qun

International Journal of Stochastic Analysis, 2003, vol. 16, 1-7

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 .

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:329860

DOI: 10.1155/S1048953303000212

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