2个有限渐近非扩张半群族的迭代序列的强收敛定理

Strong Convergence Theorems on an Iteration Sequence for Two Finite Family of Asymptotically Nonexpansive Semigroups

对希尔伯特空间中的2个有限渐近非扩张半群族引入了迭代序列,证明了这个迭代序列强收敛于这2个有限渐近非扩张半群族上的公共不动点.

The aim of this paper is to introduce an iteration sequence for two finite families of asymptotically nonexpansive semigroups in a Hilbert space.Moreover,it proves that the iteration sequence converges strongly to the common fixed point of the two finite families of asymptotically nonexpansive semigroups.The results extend some corresponding results.