Banach空间中关于m-增生算子零点的一种新的粘性隐式迭代算法

A New Viscosity Approximation Methods for the Implicit Rule of Zero Point Problems for m-Accretive Operators in Banach Spaces

在Banach空间中研究关于两个逆强增生算子的一般变分不等式问题和m-增生算子零点的粘性隐式迭代算法,对参数的适当限制下,利用超梯度方法,得到了若干强收敛定理,推广和改进了其他相关作者的主要结果.

In this paper,we study a new variational inequality problems for two inverse-strongly accretive operators and viscosity implicit algorithm for m-accretive operators in Banach spaces.Using modified extragradient method,we obtain some strong convergence theorems under suitable conditions on the parameters.The results presented in this paper extend and improve the main results of authors.