广义渐近伪非扩张半群不动点Cesaro平均黏滞迭代逼近

Cesaro Mean Viscosity Iterative Approximation of Fixed Points for Generalized Asymptotically Quasi-Nonexpansive Semigroups

引入了广义渐近伪非扩张半群Cesàro平均黏滞迭代算法,在一定条件下,在Hilbert空间建立了广义渐近伪非扩张半群不动点Cesàro平均黏滞迭代序列的强收敛性定理,推广和改进了一些文献中的相关结果.

A Cesàro mean viscous iterative algorithm of generalized asymptotic pseudo-nonexpansive semigroup was introduced. Under certain conditions, the strong convergence theorem of Cesàro mean viscosity iterative sequences for generalized asymptotically quasi-nonexpansive semigroups with fixed points in Hilbert spaces was established. The results presented extend and improve the corresponding results in some references.