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次似凸、近次似凸集值映射的等价性 被引量:2

The Equivalence of Subconvexlike Set-Valued Map and Nearly Subconvexlike Set-Valued Map
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摘要 本文在线性拓补空间中 ,首先引进了近次似凸集值映概念 ,并获得了它的一些性质 ,最后我们给出了次似凸、近次似凸集值映射等价性的证明。 In this paper,firstly we have introduced nearly subconvexlike set vaklued map and obtained a series of characterizations about it,lastly we give the proof of the equivalence of subconvexlike set valued map and nearly subconvexlike set valued map in linear topological spaces.
出处 《内江师范学院学报》 2002年第4期3-5,共3页 Journal of Neijiang Normal University
关键词 次似凸 集值映射 近次似凸 等价性 序线性拓扑空间 凸维 凸集 set valued map nearly subconvexlike equivalence ordered linear topological spaces
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参考文献2

  • 1Z. Li. A Theorem of the Alternative and Its Application to the Optimization of Set-Valued Maps[J] 1999,Journal of Optimization Theory and Applications(2):365~375
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同被引文献13

  • 1李建峰,常胜伟.一类广义凸集及其性质[J].延安大学学报(自然科学版),2001,20(2):9-11. 被引量:3
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  • 3Hanson M A. On suficiency of the Kuhn-Tucker conditions[J]. Journnal of Mathematical Analysis and Applications, 1981, 80 : 545-550.
  • 4Kaul R N, Kaur S. Optimality criteria in nonlinear programming involving noneonvex functions [J]. Journal of Mathematical Analysis and Applications, 1985,105 ( 1 ) : 104-112.
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  • 6Hill R. Invexty and generalized convexity [J]. Optimization, 1991,22: 513-525.
  • 7徐家斌.G-凸空间中的KKM选择和KKM定理[J].内江师范学院学报,2007,22(4):31-33. 被引量:3
  • 8定光桂.Banach空间引论[M].北京:科学出版社,1999.
  • 9王其林.一类广义凸集值映射优化问题弱有效解的最优性条件[J].四川师范大学学报(自然科学版),2007,30(5):556-559. 被引量:6
  • 10刘小兰,周密,何诣然.广义凸优化问题的Fenchel-Lagrange对偶[J].四川师范大学学报(自然科学版),2008,31(1):30-33. 被引量:4

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