彭兴媛, 张坤, 朱胜坤. 约束向量平衡问题的孤立有效性[J]. 云南大学学报(自然科学版), 2016, 38(6): 835-840. doi: 10.7540/j.ynu.20160201
引用本文: 彭兴媛, 张坤, 朱胜坤. 约束向量平衡问题的孤立有效性[J]. 云南大学学报(自然科学版), 2016, 38(6): 835-840. doi: 10.7540/j.ynu.20160201
PENG Xing-yuan, ZHANG Kun, ZHU Sheng-kun. Isolated efficiency for constrained vector equilibrium problems[J]. Journal of Yunnan University: Natural Sciences Edition, 2016, 38(6): 835-840. DOI: 10.7540/j.ynu.20160201
Citation: PENG Xing-yuan, ZHANG Kun, ZHU Sheng-kun. Isolated efficiency for constrained vector equilibrium problems[J]. Journal of Yunnan University: Natural Sciences Edition, 2016, 38(6): 835-840. DOI: 10.7540/j.ynu.20160201

约束向量平衡问题的孤立有效性

Isolated efficiency for constrained vector equilibrium problems

  • 摘要: 利用集值分析与变分分析方法,在适当的约束品性条件下,建立了带等式与不等式约束的向量平衡问题孤立有效性的必要最优性条件.同时,在凸性以及仿射性假设条件下,进一步建立了孤立有效性的充分最优性条件并给出了相应的等价刻画.

     

    Abstract: By applying the set-valued analysis and variational analysis methods,some necessary optimality conditions for the isolated efficiency of a vector equilibrium problem with equality and inequality constraints were established under an appropriate constraint qualification.Simultaneously,by employing the convexity and affineness conditions,some sufficient optimality conditions were further obtained and corresponding equivalent characterizations for the isolated efficiency were also given.

     

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