Hilbert空间中可列个伪压缩映像的强收敛定理（英文）

Strong convergence theorems for a countable family of pseudocontractions in Hilbert spaces

研究实Hilbert空间中寻求可列个一致Lipschitz伪压缩映像之公共不动点的三步混合粘性逼近法的收敛性.在缺乏它们的一致闭条件下,建立了该方法的强收敛定理.所得定理改进与推广了文献中早期与最近的有关结果.

This paper is devoted to the convergence analysis of a three-step hybrid viscosity approximation method for finding a common fixed point of a countable family { Tn} n≥1 of uniformly Lipschitz pseudocontractions in a real Hilbert space. Without uniformly closed condition of { Tn/n≥1, we establish some strong convergence theorems for this method. The results presented in this paper improve and extend the corresponding results in the earlier and recent literature.