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用近似凸性研究预不变凸函数 被引量:2

Study of Preconvex Functions by Nearly Convexity
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摘要 用集合的近似凸性研究函数的预不变凸性,在较弱的假设下获得了预不变凸性的一些等价条件. Preconvex functions are studied by applying nearly convexity of sets in this paper. Under weaker assumptions,some equivalent conditions for p.econvexity are derived.
出处 《甘肃联合大学学报(自然科学版)》 2006年第3期14-16,共3页 Journal of Gansu Lianhe University :Natural Sciences
关键词 预不变凸函数 闭集 近似凸集 下半连续 preconvex functions closed sets nearly convex set lower semicontinuity
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参考文献5

  • 1[1]Yang X M,Li D.On properties of preconvex functions[J].Journal of Mathematical Analysis and Applications,2001(256):299-241.
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  • 5[5]Yang X M,Yang X Q,Teo K L.Characterizations and applications of prequasi-convex functions[J].J Optim Theory Appl,2001,110(3):645-668.

同被引文献15

  • 1梅家骝.广义凸集.系统科学与数学,1988,8(2):97-106.
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  • 4Yang X M,Liu S Y. Three kinds of g ener alized convexity [J]. J Optim Theory Appl,1995,86(2) :501-513.
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  • 7Yang X M,Li D. On properties of preinvex functions[J]. J Math Anal Appl, 2001,256 : 229-241.
  • 8Yang X M, Li D. Semistrictly preinvex functions [J]. JMath Anal Appl, 2001,258 .. 287-308.
  • 9彭再云,刘亚威.预不变拟凸函数的新性质及应用[J].重庆交通大学学报(自然科学版),2008,27(3):496-498. 被引量:3
  • 10王兴国.关于半连续性与拟凸函数的注记[J].浙江师大学报(自然科学版),1999,22(2):14-18. 被引量:2

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