J4 ›› 2012, Vol. 47 ›› Issue (12): 10-13.
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XU Yi-hong, ZHANG Xiao-rong, WANG Tao, DUAN Wu-duo
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Abstract:
A type of nonderivative super subgradient was introduced for a set-valued map.Under some condition, its existence theorem was proved. As an application, under the assumption of near-subconvexlikeness, the sufficient and necessary optimality conditions were established for set-valued optimization problem to obtain super efficient elements.
Key words: super subgradient; super efficient element; set-valued map
XU Yi-hong, ZHANG Xiao-rong, WANG Tao, DUAN Wu-duo. Super subgradient for setvalued map and its applications[J].J4, 2012, 47(12): 10-13.
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