Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (1): 1-5.
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Abstract:
Thispaperproposesadualproblem (D1)forasemiinfiniteconvexprogrammingproblem (P).Itisprovedthatasufficientandnecessaryconditionofnodualgapbetween (D1)and (P)isnodualgapbetween (P)andLagrange'sdualproblem(D)of(P).Thesaddlepointcriterionof(P)isacharacterizedbyusingthedirectionalderivative.Semiinfiniteprogramming,Dualproblem,Dualgap,Directionalderivative,Subdifferential.
Key words: Semiinfiniteprogramming, Dualproblem, Dualgap, Directionalderivative, Subdifferential.
CLC Number:
LI Shi-Zheng. On Dual Gap of Semi-infinite Programming[J].Acta mathematica scientia,Series A, 2000, 20(1): 1-5.
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