关于两个单调算子之和的混合投影与收缩投影方法的强收敛定理。
Strong convergence theorems by hybrid and shrinking projection methods for sums of two monotone operators.
作者信息
Yuying Tadchai, Plubtieng Somyot
机构信息
Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, 65000 Thailand.
Research center for Academic Excellence in Mathematics, Naresuan University, Phitsanulok, 65000 Thailand.
出版信息
J Inequal Appl. 2017;2017(1):72. doi: 10.1186/s13660-017-1338-7. Epub 2017 Apr 11.
In this paper, we introduce two iterative algorithms for finding the solution of the sum of two monotone operators by using hybrid projection methods and shrinking projection methods. Under some suitable conditions, we prove strong convergence theorems of such sequences to the solution of the sum of an inverse-strongly monotone and a maximal monotone operator. Finally, we present a numerical result of our algorithm which is defined by the hybrid method.
在本文中，我们通过使用混合投影方法和收缩投影方法，引入了两种用于求解两个单调算子之和的迭代算法。在一些合适的条件下，我们证明了此类序列对于逆强单调算子与极大单调算子之和的解的强收敛定理。最后，我们给出了由混合方法定义的算法的一个数值结果。
Zotero 插件