In this paper, we propose and analyze a variant of the proximal point method for obtaining weakly efficient solutions of convex vector optimization problems in real Hilbert spaces, with respect to a partial order induced by a closed, convex and pointed cone with nonempty interior. The proposed method is a hybrid scheme that combines proximal point type iterations and projections onto some special halfspaces in order to achieve the strong convergence to a weakly efficient solution. To the best of our knowledge, this is the first time that proximal point type method with strong convergence has been considered in the literature for solving vector/multiobjective optimization problems in infinite dimensional Hilbert spaces.

在本文中，我们提出并分析了近点方法的一种变体，该方法用于获得实 Hilbert 空间中凸向量优化问题的弱有效解，关于由具有非空内部的封闭、凸面和尖锥引起的偏序。所提出的方法是一种混合方案，它将近端点类型迭代和投影结合到一些特殊的半空间上，以实现对弱效率解决方案的强收敛。据我们所知，这是第一次在文献中考虑具有强收敛性的近端点型方法来解决无限维希尔伯特空间中的向量/多目标优化问题。