摘要
本文给出Hilbert空间与Banach空间中关于压缩映射、扩张映射的若干迭代格式,证明这些映射的不动点集与均衡问题解集的强(弱)收敛定理,本文改进和推广了相关文献中的结果.
In this paper,we introduce the iterative algorithms of contractive and expansive mappings in Hilbert space and Banach space. Then we prove weak and strong convergence theorems for find- ing a common element of the set of fixed point problem and equilibrium problem. These conclusions generalize and promote the existed conclusions.
出处
《应用数学》
CSCD
北大核心
2015年第1期200-212,共13页
Mathematica Applicata
基金
Supported by the National Natural Science Foundation of China(11071109)
关键词
渐近k-严格伪压缩映射
扩张映射
弱收敛性
强收敛性
Asymptotically k -strict Pseudo-contraction
Expansive mapping
Weakconvergence
Strong convergence
