VISCOSITY METHODS OF APPROXIMATION FOR A COMMON SOLUTION OF A FINITE FAMILY OF ACCRETIVE OPERATORS
VISCOSITY METHODS OF APPROXIMATION FOR A COMMON SOLUTION OF A FINITE FAMILY OF ACCRETIVE OPERATORS
复制标题
有限累加算子族公解的近似粘度法
DOI：
10.7858/eamj.2011.27.1.011
复制
发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Tie
中科院分区：
文献类型：
--
作者：
Junmin Chen;Li;Tie
在本文中，我们尝试扩展粘性近似技术，以找到严格凸自反且具有弱顺序连续对偶映射的 Banach 空间中有限族增值映射的特定公共零。提出了显式粘度近似格式，并证明了其对变分不等式解的强收敛性。
In this paper, we try to extend the viscosity approximation technique to find a particular common zero of a finite family of accretive mappings in a Banach space which is strictly convex reflexive and has a weakly sequentially continuous duality mapping. The explicit viscosity approximation scheme is proposed and its strong convergence to a solution of a variational inequality is proved.