近似邻近点算法收敛性的一个注记

摘要

近似邻近点算法在最优化理论与方法研究中具有重要作用。在不同误差准则下，近似邻近点算法具有不同的收敛性。利用极大单调算子等工具给出了一个具体的例子，解释了在一些误差准则下近似邻近点算法的收敛性。%Approximate proximal point algorithm has been playing an important role in optimization theory and methods. Under various approximate calculation, approximate proximal point algorithm has different con-vergence. In this paper, by means of some tools including as maximal monotone operator etc., a concrete example is presented to illustrate the convergence of approximate proximal point algorithm with some approxi-mate calculations.