集值优化问题ε-严有效性的最优性条件
집치우화문제ε-엄유효성적최우성조건
Optimality Conditions for Set-valued Optimization in the Sense of ε-Strict Efficiency
  • 万方数据
    运筹学学报 운주학학보
    OR TRANSACTIONS
    2008年 4期 10-18 ,共9页

    赵春英%戎卫东

    조춘영%융위동

    运筹学%集值优化%ε-严有效性%最优性条件 運籌學%集值優化%ε-嚴有效性%最優性條件
    운주학%집치우화%ε-엄유효성%최우성조건
    Operations research%set-valued optimization%ε-strict efficiency%optimality condition
    本文是文[1]工作的继续,对ε-严有效性开展进一步的研究.对于集值优化问题(SVP),在有关映射为锥.类凸的假设条件下,得到了ε-(真)严有效点(解)的ε-Lagrange乘子、ε-真严鞍点和ε-Lagrange型对偶等结果.
    본문시문[1]공작적계속,대ε-엄유효성개전진일보적연구.대우집치우화문제(SVP),재유관영사위추.류철적가설조건하,득도료ε-(진)엄유효점(해)적ε-Lagrange승자、ε-진엄안점화ε-Lagrange형대우등결과.
    The paper is the continuations of research work [1].We research ε-strict efficiency further.For the set-valued optimization problem(SVP),we obtain the results for ε-Lagrange multipliers,ε-properly strict saddle points and ε-Lagrange type duality of the ε-(proper)strict efficient points(solutions)under the assumptions of cone-convexlikeness of the maps.
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