Banach空间中有限簇伪压缩映象的修正迭代算法

Modified iterative algorithm for a finite family of pseudo-contractive mappings in banach spaces

摘要: 在具有一致Gteaux可微的Banach空间中,研究了一簇伪压缩映象公共不动点的修正粘性迭代算法,并在一定条件下获得了该迭代算法的强收敛性,同时证明了该序列强收敛到一簇伪压缩映象的某个公共不动点.所得结果扩展并统一了部分类似文献的结果.

Abstract: In this paper,a modified viscosity iterative process is proposed for finding a common element of the set of fixed points for a finite family of pseudo-contractive mappings in Banach spaces with a uniformly Gateaux differentiable norm.Under some suitable conditions,the strong convergence theorems of the iterative sequence are obtained.The results resents in this paper extend the results of some similar literatures.