Necessary Conditions for Second-Order Optimality of Vector Optimization of Set-Valued Maps
Received:November 26, 2001  
Key Words: second-order tangent set   second-order tangent derivative   weak minimal  
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Author NameAffiliation
JIA Ji-hong Dongguan University of Technology
Guangdong
China 
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Abstract:
      In this paper, the concept of second--order tangent set of set-valued maps is given in the Euclidean space. Based on the second--order tangent set , the second-order tangent derivative of set--valued maps is defined. Then, two necessary conditions for second-order optimality for the weak minimal in the vector optimization of set-valued maps are obtained.
Citation:
DOI:10.3770/j.issn:1000-341X.2004.02.024
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