严格伪压缩半群迭代序列的强收敛定理

Strong convergence theorem of iterative sequence for strictly pseudocontractive semigroups

在Banach空间中研究严格伪压缩半群公共不动点的隐式迭代序列的收敛性.使用较弱的条件(A)取代紧集的条件,并且在不需要 lim n→∞ t n= lim n→∞(α n/t n)=0 的条件下,建立了严格伪压缩半群公共不动点的隐式迭代序列的强收敛定理,从而推广和改进了相关文献中的结果.

Convergence of new implicit iterative sequence for strictly pseudocontractive semigroups is studied and strong convergence theorem of implicit iterative sequence of common fixed points for strictly pseudocontractive semigroups in Banach spaces is established under the condition of replacing compact sets with weaker condition (A) and without lim n→∞ t n= lim n→∞(α n/t n)=0. The results presented in this paper extend and improve the corresponding results in some references.