用修正的Mann迭代算法求解分裂可行性问题

Solving split feasibility problem by modified Mann iteration algorithm

在Hilbert框架下借助于度量投影修正Mann迭代程序,证明了关于无限族非扩张映射的强收敛定理,并用于求解分裂可行性问题SFP.研究成果在很大程度上推广和改进了现有的结果.

A strong convergence theorem is proved by the hybrid method which is called Modified Mann algorithm for a sequence of nonexpansive mappings and metric projection in Hilbert space.This result is used to solve the split feasibility problem.The result generalizes and improves recent results.