两类问题解集的公共元的强收敛定理
Strong convergence theorem of common elements for the set of solutions of two kinds of problems
高兴慧 1张玉婷 1田迅杰 1李苗苗 1彭剑英1
作者信息
- 1. 延安大学数学与计算机科学学院,陕西延安 716000
- 折叠
摘要
在Hilbert空间中,构造了寻找分裂可行性问题与两个拟非扩张算子公共不动点问题之公共解的一种新算法.在适当的假设条件下,利用映射的次闭原理和投影算子与共轭算子的性质证明了由该算法生成的迭代序列强收敛到分裂可行性问题和不动点问题的公共解,并给出了具体的数值实验验证了所提出算法的收敛性和有效性.所得结果改进和推广了一些最新文献的结果.
Abstract
In real Hilbert spaces,a new algorithm was constructed to find a common solution of the split feasibility problem and the fixed points problem involving two quasi-nonexpansive mappings.Under appropriate conditions,it was proved that the itera-tion sequence by the algorithm strongly converged to a common solution of the split feasibility problem and the fixed points prob-lem by using the demi-closed principle and properties of projection operators and conjugate operators.The effectiveness of the algorithm was verified by numerical experiments.The results of this paper improved and extended recent some relative results.
关键词
分裂可行性问题/不动点问题/拟非扩张算子Key words
split feasibility problem/fixed points problem/quasi-nonexpansive mappings引用本文复制引用
出版年
2024
NETL
NSTL
万方数据