希尔伯特空间中伪压缩和$κ$ -严格伪压缩的${\cal T}$类算法
${\cal T}$-class algorithms for pseudocontractions and $κ$-strict pseudocontractions in Hilbert spaces
摘要：
本文研究了求$κ$ -严格伪压缩不动点集的公共元素或求单调Lipschitz连续映射的变分不等式问题的解的迭代算法。最后一个问题与寻找伪压缩的不动点有关。这些算法已经在[G.L.阿塞多，H.- K. Xu]和[N. Nadezhkina，W. Takahashi]，但我们的目的是在这里提供这些已知算法和在[H. H.鲍施克Combettes]。
英文摘要：
In this paper we study iterative algorithms for finding a common element of the set of fixed points of $κ$-strict pseudocontractions or finding a solution of a variational inequality problem for a monotone, Lipschitz continuous mapping. The last problem being related to finding fixed points of pseudocontractions. These algorithms were already studied in [G.L. Acedo, H.-K. Xu] and [N. Nadezhkina, W. Takahashi] but our aim here is to provide the links between these know algorithms and the general framework of ${\cal T}$-class algorithms studied in [H.H. Bauschke, P.L. Combettes].
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
