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Several Problems about the Generalized Convexity 被引量:1

广义凸性的几个问题(英文)
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摘要 In this article,we will prove that,under the differential condition,the strict pseudo_convexity and Orgega_Rheinbold pseudo_convex are equivalent.What's more,we will discuss the relation between the r_convexity and the analog convexity.
作者 王治国
机构地区 开封师专数学系
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2000年第3期100-102,共3页 数学季刊(英文版)
关键词 pseudo_convexity EQUIVALENCE r_convexity analog convexity 伪凸 等价 R-凸 拟凸 广义凸性 可微条件 ORTEGA-RHEINBOLD伪凸 数学规划
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同被引文献5

  • 1YANG X M,LIU S Y. Three kinds of Generalized Convexity[J]. Journal of Optimization Theory and Applications, 1995,86(2) :501 - 513.
  • 2ARROW K L, ENTHOVEN A C. Quasi - Concave Programming[J]. Econometrica, 1961,29:779 - 800.
  • 3BAZARAA M S,SHETTY C M. Nonlinear Programming Theory and Algorithms [M]. New York:John Wiley and Sons, 1979.
  • 4MUKHERJEE R N ,REDDY L V. Journal of Optimization Theory and Applications[J]. 1997,94(3):715 -726.
  • 5MORDECAI AVRIEL. r - CONVEX FUNCTION[J]. Mathematics Programming, 1972,(2):309-323.

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