Optimality Conditions of Vector Set-Valued Optimization Problem Involving Relative Interior
© Zhiang Zhou. 2011
Received: 26 October 2010
Accepted: 22 January 2011
Published: 8 February 2011
Firstly, a generalized weak convexlike set-valued map involving the relative interior is introduced in separated locally convex spaces. Secondly, a separation property is established. Finally, some optimality conditions, including the generalized Kuhn-Tucker condition and scalarization theorem, are obtained.
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