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

作　　者：张树义[1] 张芯语 ZHANG Shuyi;ZHANG Xinyu(College of Mathematics and Physics, Bohai University, Jinzhou 121013, China)

机构地区：[1]渤海大学数理学院,辽宁锦州121013

出　　处：《沈阳大学学报（自然科学版）》2021年第1期75-82,共8页Journal of Shenyang University：Natural Science

基　　金：国家自然科学基金资助项目(11371070).

摘　　要：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.

关 键 词：Hilbert空间 广义渐近伪非扩张半群 Cesaro平均黏滞迭代序列 变分不等式 公共不动点 

分 类 号：O177.91[理学—基础数学]