Essential Property and Essential Components of Weak Efficient Solutions of Vector Optimization Problems with Set-valued Maps

Xiang Shu-wen · Jiangxi kexue · 2010

With regard to set-valued maps vector optimization problem,under certain conditions has been the existence of weakly efficient solutions.By the same metric topology to study the stability of weakly efficient solution set.Proved that when the set-valued maps form a Baire space,weak efficient solutions of vector optimization problems with set-valued maps are stable,and further discussion about the essential component.

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