Banach空间中Bregman强非扩张映象的强收敛定理

The Strong Convergence Theorem for Bregman Strong Nonexpansive Mappings in Banach Space

在自反的Banach空间中通过收缩投影方法构造了两族Bregman强非扩张映象的迭代算法,在适当的条件下证明了此迭代序列的强收敛性.所得结果推广了Takahashi、Reich等人最近的结果.

The iterative algorithm for Bregman strong nonexpansive mappings by shrinking projection method in the framework of reflexive Banach spaces was explored.Under suitable conditions,the sequence converges to the common fixed point strongly.The results improve and extend some recent results announced by Takahashi,Reich et al.