We are interested in local quasi efficient solutions for nonsmooth vector optimization problems under new generalized approximate invexity assumptions. We formulate necessary and sufficient optimality conditions based on Stampacchia and Minty types of vector variational inequalities involving Clarke’s generalized Jacobians. We also establish the relationship between local quasi weak efficient solutions and vector critical points.

中文翻译：

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关于非光滑向量优化问题的局部拟有效解

在新的广义近似不变性假设下，我们对非光滑向量优化问题的局部拟有效解感兴趣。我们基于涉及克拉克广义雅可比矩阵的向量变分不等式的Stampacchia和Minty类型，制定必要和充分的最优条件。我们还建立了局部拟弱有效解与矢量临界点之间的关系。