一类非扩张型映射的不动点与变分包含问题的公共解

A kind of Strong Convergence Theorems for Monexpansive Mappings and Variational inclusion

本文用一种新的迭代算法来逼近非扩张映射的不动点和变分包含问题的解,证明了建立的这一迭代系列强收敛到这两个问题的公共解。方法是新的,并推广了已有结果,简化了许多假设条件。

We consider an iterative scheme for finding a common element of the set of fixed points of a nonexpansive mappings and the set of solution of the variational inclusion for an ivcerse-strongly mono- tone mapping ane maximal nonotone mapping in a real Hilbert Space. Then we show that the sequence converges strongly to a common element of two sets.