双曲空间中渐近拟非扩张映射与几乎渐近拟非扩张映射混合迭代的强收敛  

Strong convergence for mixed type iteration of asymptotically quasi-nonexpansive mappings and nearly asymptotically quasi-nonexpansive mappings in hyperbolic spaces

作　　者：刘涌泉 李刚 方达 LIU Yongquan;LI Gang;FANG Da(School of Primary Education,Ji′an Vocational and Technical College,Ji′an 343000,China;School of Teacher Education,Ji′an Preschool Teachers College,Ji′an 343000,China)

机构地区：[1]吉安职业技术学院小学教育学院,江西吉安343000 [2]吉安幼儿师范高等专科学校教师教育学院,江西吉安343000

出　　处：《高师理科学刊》2023年第12期9-14,共6页Journal of Science of Teachers＇College and University

基　　金：江西省教育厅科技计划项目(GJJ219409)。

摘　　要：在双曲空间中,引入了关于三个渐近拟非扩张映射和三个几乎渐近拟非扩张映射新的SP-迭代算法,获得了渐近拟非扩张映射和几乎渐近拟非扩张映射在新的SP-迭代算法下的强收敛性定理,所得结果推广和改进了相关文献的结论.A new SP-iterative scheme for three asymptotically quasi-nonexpansive mappings and three nearly asymptotically quasi-nonexpansive mappings is introduced in hyperbolic spaces.The strong convergence theorems of three asymptotically quasi-nonexpansive mappings and three nearly asymptotically quasi-nonexpansive mappings are established under the new SP-iterative scheme.The results improve and extend the results of some relevant literature.

关 键 词：双曲空间 渐近拟非扩张映射 几乎渐近拟非扩张映射 SP-迭代算法 公共不动点 

分 类 号：O177.91[理学—数学]