彭兴媛, 朱胜坤. 约束向量平衡问题的弱严格有效性[J]. 云南大学学报(自然科学版), 2018, 40(4): 625-631. doi: 10.7540/j.ynu.20170460
引用本文: 彭兴媛, 朱胜坤. 约束向量平衡问题的弱严格有效性[J]. 云南大学学报(自然科学版), 2018, 40(4): 625-631. doi: 10.7540/j.ynu.20170460
PENG Xing-yuan, ZHU Sheng-kun. Weak sharp efficiency for constrained vector equilibrium problems[J]. Journal of Yunnan University: Natural Sciences Edition, 2018, 40(4): 625-631. DOI: 10.7540/j.ynu.20170460
Citation: PENG Xing-yuan, ZHU Sheng-kun. Weak sharp efficiency for constrained vector equilibrium problems[J]. Journal of Yunnan University: Natural Sciences Edition, 2018, 40(4): 625-631. DOI: 10.7540/j.ynu.20170460

约束向量平衡问题的弱严格有效性

Weak sharp 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弱严格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,进一步建立了弱严格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 weak sharp 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 weak sharp efficiency were also given.

     

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