首页>
美国卫生研究院文献>SpringerPlus
>Multidirectional hybrid algorithm for the split common fixed point problem and application to the split common null point problem
【2h】
Multidirectional hybrid algorithm for the split common fixed point problem and application to the split common null point problem
In this article, a new multidirectional monotone hybrid iteration algorithm for finding a solution to the split common fixed point problem is presented for two countable families of quasi-nonexpansive mappings in Banach spaces. Strong convergence theorems are proved. The application of the result is to consider the split common null point problem of maximal monotone operators in Banach spaces. Strong convergence theorems for finding a solution of the split common null point problem are derived. This iteration algorithm can accelerate the convergence speed of iterative sequence. The results of this paper improve and extend the recent results of Takahashi and Yao (Fixed Point Theory Appl 2015:87, ) and many others .
展开▼
机译：在本文中，针对Banach空间中的两个可数类拟非扩张映射，提出了一种新的多方向单调混合迭代算法，用于寻找分裂公共不动点问题的解决方案。证明了强收敛定理。结果的应用是考虑Banach空间中最大单调算子的分裂公共零点问题。推导了用于寻找分裂公共零点问题解决方案的强收敛定理。该迭代算法可以加快迭代序列的收敛速度。本文的结果改进和扩展了Takahashi和Yao（Fixed Point Theory Appl 2015：87，等）的最新结果。
展开▼
