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．
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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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１ 李师正等．半无限规划的鞍点与对偶性．数学物理学报，１９９６，１６（２）：１７４－１７８ ２ ＴｉｅｌＪＶ．Ｃｏｎｖｅｘａｎａｌｙｓｉｓ．Ｎｅｗ Ｙｏｒｋ：Ｊｏｈｎ Ｗｉｌｅｙ ＆ Ｓｏｎｓ，１９８４ ３ ＺｏｗｅＪ．Ｓａｎｄｗｉｃｈｔｈｅｏｒｅｍｓｆｏｒｃｏｎｖｅｘｏｐｅｒａｔｏｒｓｗｉｔｈｖａｌｕｅｓｉｎａｎｏｒｄｅｒｅｄｖｅｃｔｏｒｓｐａｃｅ．ＪＭａｔｈＡｎａｌＡｐｐｌ，１９７８，６６：２８２－２９６ ４ ＫａｒｎｅｙＤＦ，ＭｏｒｌｅｙＴＤ．Ｌｉｍｉｔｉｎｇｌａｇｒａｎｇｉａｎ：ａｐｒｉｍａｌａｐｐｒｏａｃｈ．ＪＯｐｔＴｈｅｏｒｙＡｐｐｌ，１９８１，４８：１６３－１７４ ５ Ｌｏｐｅｚ Ｍ Ａ，ＶｅｒｃｈｅｒＥ．Ｏｐｔｉｍａｌｉｔｙｃｏｎｄｉｔｉｏｎｓｆｏｒｎｏｎｄｉｆｆｅｒｅｎｔｉａｂｌｅｃｏｎｖｅｘｓｅｍｉｉｎｆｉｎｉｔｅｐｒｏｇｒａｍｍｉｎｇ．ＭａｔｈＰｒｏｇ，１９８３，２７：３０７－３１９ ６ ＫａｒｎｅｙＤＦ．Ａｄｕａｌｉｔｙｔｈｅｏｒｙｆｏｒｓｅｍｉｉｎｆｉｎｉｔｅｃｏｎｖｅｘｐｒｏｇｒａｍｍｉｎｇａｎｄｔｈｅｉｒｆｉｎｉｔｅｓｕｂｐｒｏｇｒａｍｓ．ＭａｔｈＰｒｏｇ，１９８３，２７：７５－８２
Cited
Iterative Solution for Systems of a Class of Abstract Operator Equations and Applications
Existence of Positive Solutions for Fourth-Order Boundary
Value Problem with Variable Coefficients
Second-order Optimality Conditions for C1,1
Semidefinite Programming
Existence of Positive Periodic Solutions of a Prey-Predator
System with Several Delays
Boundedness of the Commutator of Marcinkiewicz Integral on Hardy Space and Herz-type Hardy Space
Testing for Homogeneity of Between-individual Variances and Autocorrelation Coefficients in Longitudinal Nonlinear Models
with Random Effects and AR(1) Errors
The Navier-Stokes Equations in Stream Layer or on Stream
Surface and a Dimension Split Method