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半局部凸多目标半无限规划的最优性 被引量：2

Optimality with Semilocally Convex for Multiobjective Semi-infinite Programming
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摘要 研究半局部凸函数在多目标半无限规划下的最优性.利用半局部凸函数,讨论了在多目标半无限规划下的择一定理,最优性条件.使半局部凸函数运用的范围更加广泛. The optimality conditions formultiobjective semi-infinite programming with semilocally convex functions aregiven. Using semilocally convex, theories formultiobjective semi-infinite programming with semilocally convex functions arediscussed. These conclusion enrich the use ofsemilocally conex function.
作者 张蕾蕾
机构地区 西安邮电学院数理系
出处 《数学的实践与认识》 CSCD 北大核心 2008年第16期154-157,共4页 Mathematics in Practice and Theory
基金 西安邮电学院基金资助项目(105-0447)
关键词 半局部凸函数 多目标半无限规划 最优性条件 semilocally convex multiobjective semi-infinite programming optimalityconditions
分类号 O221.6 [理学—运筹学与控制论]
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参考文献5

  • 1Bettor C R, Singh C. B-convex functions[J]. J Optim Theory Appl, 1991,71 (2) : 237-253.
  • 2Avriel M, Zang I. Generalized arcwise-connected functions and characterizations of local-global minimun properties [J]. J Optim Theory Appl, 1980,32 (4) : 407-425.
  • 3Ewing G M. Sufficient conditions for global minima of suitably convex functions from variational and control theory[J]. SIAM Rev,1977, (19) :202-220.
  • 4Weir T. Programming with semilocally convex functions[J]. J Math Anal Appl, 1992,168:1-12.
  • 5Mukherjee R N, Mishra S K. Multiobjective programming with semilocally convex functions[J]. J Math Anal Appl, 1996,199: 409-425.

同被引文献14

  • 1Wan Zhongping,Wu Guoming.ASYMPTOTIC SURROGATE CONSTRAINT METHOD AND ITS CONVERGENCE FOR A CLASS OF SEMI-INFINITE PROGRAMMING[J].Applied Mathematics(A Journal of Chinese Universities),1999,14(4):485-491. 被引量：2
  • 2杨新民.半局部λ－次凸函数[J].重庆师范学院学报（自然科学版）,1994,11(2):4-8. 被引量：3
  • 3Gustafson S A, Kortanek K O. Semi-infinite programming and applications[C]//Bachem M, et al. Mathematical programming: The state and art. Berlin: Springer-Verlag, 1983, 132-157.
  • 4Lai H C, Wu S Y. On linear semi-infinite programming problems: an algorithm[J]. Numerical functional analysis and optimization, 1992, 13: 287-304.
  • 5Hettich R, Kortanek K O. Semi-infinite programming: theory, method and applications[J]. SIAM Review, 1993, 35:380-429.
  • 6Fang S C, Wu S Y. An inexact approach to solving linear semi-infinite programming problems[J]. Optimization, 1994,28: 291-299.
  • 7Fang S C, Lin C J, Wu S Y. On solving convex quadratic semi-infinite programming problems[J]. Optimization, 1994, 31:107-125.
  • 8Luenberger D G. Linear and nonlinear programming[M].Massachusetts : Addison-Wesley, Reading, 1984.
  • 9Glashoff K, Gustafson S A. Linear optimization and approximation[M]. New York: Springer-Verlag, 1983.
  • 10Ferris M C, et al. An interior-point algorithm for semi-infinite linear programming[J]. Mathematical programming, 1989, 43: 257-276.

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数学的实践与认识
2008年 第16期

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