In this study, a novel sequential optimality condition for general continuous optimization problems is established. In the context of mathematical programs with equilibrium constraints, the condition is proved to ensure Clarke stationarity. Originally devised for constrained nonsmooth optimization, the proposed sequential optimality condition addresses the domain of the constraints instead of their images, capturing indistinctly the features of the complementarity and the ordinary constraints of optimization problems modeling equilibrium conditions.

中文翻译：

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应用于具有平衡约束的数学程序的一种新的序贯最优条件分析

在这项研究中，为一般连续优化问题建立了一个新的顺序最优条件。在具有均衡约束的数学程序的上下文中，证明该条件可确保克拉克平稳性。最初为受约束的非平滑优化设计，所提出的顺序最优条件解决了约束的域而不是它们的图像，模糊地捕捉了互补性的特征和优化问题建模平衡条件的普通约束。