标题： 扩展的前向后向算法 显示英文标题

标题： Extended Forward-Backward Algorithm

摘要： 我们提出了一种扩展的前向-后向算法，用于近似一个极大单调算子的零点，该算子可以分解为两个极大单调算子的扩展和。 在类似于经典前向-后向算法中使用的假设下，我们建立了由该算法生成的序列的平均弱收敛性。 这在特殊情况下提供了一个用于解决没有资格条件的凸约束最小化问题的算法。 显示英文摘要

摘要： We propose an extended forward-backward algorithm for approximating a zero of a maximal monotone operator which can be split as the extended sum of two maximal monotone operators. We establish the weak convergence in average of the sequence generated by the algorithm under assumptions similar to those used in classical forward-backward algorithms. This provides as a special case an algorithm for solving convex constrained minimization problems without qualification condition.