论文标题
关于Moudafi粘度近似方法的连续版本的收敛
On the convergence of the continuous version of the Moudafi's viscosity approximation method
论文作者
论文摘要
我们研究了与Moudafi在2000年引入的非固定点问题（DDS）的离散粘度近似方法（DDS）相关的连续动力系统（CD）（CD）的渐近行为。 Moudafi，固定点问题的粘度近似方法，J。Math。肛门。应用。 241（2000），46-55]。我们确定系统（CD）的轨迹$ x（t）$和由离散过程（DDS）生成的序列$（x_ {n}）$具有非常相似的渐近行为。
We study the asymptotic behavior of trajectories of the continuous dynamical system (CDS) associated to the the discrete viscosity approximation method for fixed point problem of nonexpansive mapping (DDS) which was introduced by Moudafi in 2000 [A. Moudafi, Viscosity approximation methods for fixed points problems, J. Math. Anal. Appl. 241 (2000), 46-55]. We establish that the trajectories $x(t)$ of the system (CDS) and the sequences $(x_{n})$ generated by the the discrete process (DDS) have a very similar asymptotic behaviors.
