广义全渐近严格伪压缩半群的迭代逼近  

Iterative Approximation of Generalized Total Asymptotically Strictly Pseudocontractive Semigroups

作　　者：张树义[1] 聂辉 张芯语 ZHANG Shuyi;NIE Hui;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）》2020年第1期73-83,共11页Journal of Shenyang University：Natural Science

基　　金：国家自然科学基金资助项目(11371070);渤海大学研究生创新基金资助项目(YJC20170036).

摘　　要：引入广义全渐近严格伪压缩半群,广义渐近严格伪压缩半群等,在没有任何有界的条件下,使用新的分析技巧,在实赋范线性空间中建立了广义全渐近严格伪压缩半群公共不动点的具误差的显示迭代序列的强收敛定理.By introducing the generalized total asymptotically strictly pseudo-contractive semigroup,the generalized asymptotically strictly pseudo-contractive semigroup and so on,and without any bounded conditions,the strong convergence theorems of the explicit iterative sequence with error for the common fixed point of the generalized total asymptotically strictly pseudo-contractive semigroup is established in the real normed linear space by using a new analytical technique.

关 键 词：实赋范线性空间 广义全渐近严格伪压缩半群 广义渐近严格伪压缩半群 公共不动点 具误差的显示迭代序列 

分 类 号：O177.91[理学—数学]