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非光滑凸多目标规划的鞍点定理 被引量:3

Saddle-Point Theory of Nonsmooth Invex Multiobjective Programming
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摘要 通过对向量值函数定义一类复合Q-ρ不变凸函数和S-δ不变凸函数,将该类广义凸函数应用到非光滑多目标规划问题上,得到并证明了非光滑复合Q-ρ不变凸和S-δ不变凸多目标规划的复合向量鞍点定理. Composite invex function was introduced and applied to the nonsmooth multiobjective programming problem,on the basis of which optimality conditions and saddle-point theory were obtained for nonsmooth composite multiobjective programming.
作者 王彩玲
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2011年第4期693-695,共3页 Journal of Jilin University:Science Edition
基金 吉林省自然科学基金(批准号:20101597)
关键词 非光滑多目标规划 最优性条件 鞍点定理 不变凸 nonsmooth multiobjective programming optimality conditions saddle-point theory invex
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参考文献10

  • 1Hanson M A. On Sufficiency of the Kuhn-Tucker Conditions [J]. Math Anal Appl, 1981, 80(2) : 545-550.
  • 2Craven B D. Nonsmooth Multiobjective Programming [ J]. Numerical Functional Analysis and Optimization, 1989, 10(1/2) : 49-64.
  • 3Tanaka Y, Fukushima M, Ibaraki T. On Generalized Pseudoconvex Functions [J~. J Math Anal Appl, 1989, 144(2) : 342 -355.
  • 4Mishra S K, Wang S Y, Lai K K. Nondifferentiable Muhiobjective Programming under Generalize d-Univexity [ J ]. European Journal of Operational Research, 2005, 160( 1 ) : 218-226.
  • 5Niculescu C. Optimality and Duality in Multiobjective Fractional Programming Involving p-Semiloeally Type I-Preinvex and Related Functions [J]. Math Anal Appl, 2007, 335(1) : 7-19.
  • 6Wu Z Y, Rubinov A M. Global Optimality Conditions for Some Classes of Optimization Problems [ J ]. Journal of Optim Theory Appl, 2010, 145( 1 ) : 164-185.
  • 7Shapiro A. On a Class of Nonsmooth Composite Functions [ J]. Mathematics of Operational Research, 2003, 28 (4) : 677-692.
  • 8Jeyakumar V, Yang X Q. Convex Composite Multiobjective Nonsmooth Programming [ J]. Math Programming, 1993, 59(1/2/3) : 325-343.
  • 9Mishra S K. Lagrange Multipliers Saddle Points and Scalarizations in Composite Multiobjective Nonsmooth Programming [J]. Optimization, 1996, 38(2): 93-105.
  • 10WANG Cai-ling, SUN Wen-juan, YANG Rong, et al. Optimality Conditions of Nonsmooth Composite Generalized Invex Muhiobjective Programming [J]. Journal of Jilin University: Science Edition, 2008, 46(5): 877-879.

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