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函数凸扩张存在的特征 被引量:1

Characteristic of Existence of Convex Extensions of Functions
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摘要 将凸函数次微分的概念稍加改变,引入一般函数次微分并借助凸化方法得到函数的凸扩张存在的充分必要条件,借助凸分析原理对优化问题展开了研究. In the paper, we change the notion of subdifferential of convex functions new subdifferential of general functions and obtain sufficient and necessary conditions of slightly, introduce a existence of convex extensions by convexification, we can then study optimization problems by convex analysis.
作者 林国琛
出处 《厦门理工学院学报》 2010年第1期21-23,共3页 Journal of Xiamen University of Technology
基金 厦门理工学院科技项目(YKJ08014R)
关键词 次微分 凸化函数 凸扩张 subdifferential convexification function convex extension
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  • 1Yoav Benyamini, Lindenstrauss J. Geometric Nonlinear Functional Analysis. American Mathematical Society Colloquium Publications, 2000.
  • 2Soltan P, Soltan V. d-Convex Functions. Dokl. Akad. Nauk SSSR., 1979, 249: 555-558.
  • 3Wu Cong-xin, Cheng Li-xin, Ha Ming-hu, Lee E S. Convexification of Nonconvex Yhnctions and Application to Minimum and Maximum Principles for Nonconvex Sets. Computers and Mathematics with Applications, 1996, 31: 27-36.
  • 4Phelps R R. Convex Functions, Monotone Operators and Differentiability. New York: Springer-Verlag, 1989.
  • 5Krynski S. Metrically Convex Functions in Normed Spaces. Studia Math., 1993, 105: 1-11.

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