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具广义V-不变凸多目标变分的混合对偶性 被引量：1

Mixed Type Duality for Multiobjective Variational Problems with Generalized Invexity
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摘要 在函数广义V-不变凸性的条件下,建立了多目标变分关于有效解的混合对偶理论. A mixed type dual for multiobjecive variational problems is formulated.Under the generalized V-invexity on the functions involved,weak,strong,and strict converse duality theorems are established relating efficient solutions of the primal and dual problems.
作者 陈世国 刘家学
机构地区 空军第一航空学院基础部
出处 《大学数学》 2011年第1期101-105,共5页 College Mathematics
关键词 多目标变分 有效解 混合对偶 广义V-不变凸性 multiobjective variational problems efficiency solutions mixed type duality generalized V-invexity
分类号 O224 [理学—运筹学与控制论]
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参考文献9

  • 1Mishra S K and Mukherjee R N. On efficiency and duality for multiobjective variational problems[J]. J. Math. Anal. Appl, 1994, 187(1):40--54.
  • 2Bhatia D and Mehra A. Optimality conditions and duality t'or multiobjective variational problems with generalized Binvexity[J]. J. Math. Anal. Appl, 1999, 234(1):341--360.
  • 3Mond B and Husain I. Sufficient optimality critera and duality for variational problems with generalized invexity [J]. J. Austral. Math. Soc. SerB, 1989: 31(1): 108--121.
  • 4Lee G M, Kim D S and Jo C L. Duality for multiobjective variational problems with generalized invexity[J]. J. Inform. Opti. Sci, 1998, 19(1): 13--23.
  • 5Mishra S K. Generalized proper efficiency and duality for a class of nondifferentiable multiobjective variational problems with V-invexity[J]. J. Math. Anal. Appl, 1996, 202(1): 53--71.
  • 6Mukherjee R N and Rao C P. Mixed type duality for multiobjective variational problems[J]. J. Math. Anal. Appl, 2000, 252(2): 571--586.
  • 7陈世国,祁传达.多目标变分问题的混合对偶性[J].数学的实践与认识,2003,33(12):97-102. 被引量：5
  • 8Ahmad I and Gulati T R. Mixed type duality for multiobjective variational problems with generalized (F,ρ)- convexity[J]. J. Math. Anal. Appl, 2005, 306(2): 669--683.
  • 9Mond B. Duality for variational problem[J]. J. Math. Anal. Appl, 1967, 18(2): 355--364.

二级参考文献1

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同被引文献8

  • 1HANSON M A. Bounds for functionally convex optimal control problem[J].{H}Journal of Mathematical Analysis and Applications,1964,(08):84-89.
  • 2NABAK C,NANDA S. On efficiency and duality for multiobjective variational control problems with (F,ρ)-convexity[J].{H}Journal of Mathematical Analysis and Applications,1997.415-434.
  • 3AHMAD I,SHARMA S. Sufficiency and duality for multiobjective variational control problems with generalized (F,α,ρ,θ)-V-convexity[J].{H}Nonlinear Analysis TMA,2010.2564-2579.
  • 4YUAN De-hui,LIU Xiao-ling,CHINCHULUUN A. Nondifferentiable Minimax Fractional Programming Problems with (C,α,ρ,d)-Convexity[J].{H}Journal of Optimization Theory and Applications,2006,(01):185-199.
  • 5PREDA V. On efficiency and duality for multiobjective programs[J].{H}Journal of Mathematical Analysis and Applications,1992.365-377.
  • 6BHATI D,MEHRA A. Optimality conditions and duality for multiobjective variational problems with generalized B-invexity[J].{H}Journal of Mathematical Analysis and Applications,1999.341-360.
  • 7陈世国,刘家学.具V-不变凸性的一类多目标控制问题的混合对偶性[J].数学杂志,2010,30(2):338-344. 被引量：3
  • 8陈世国,祁传达.多目标变分问题的混合对偶性[J].数学的实践与认识,2003,33(12):97-102. 被引量：5

引证文献1

大学数学
2011年 第1期

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