四川师范大学学报（自然科学版）2013，Vol.36Issue(1)：71-76,6.DOI:10.3969/j.issn.1001-8395.2013.01.016
全渐近非扩张映象和无限族非扩张映象的强收敛定理
Strong Convergence Theorems for Total Asymptotically Non-expansive Mappings and Infinite Family of Non-expansive Mappings
摘要
Abstract
In this paper, the Mainge and Moudafi' s iteration is improved in a real Hilbert space. A new iterative algorithm involving total asymptotical nonexpansive mappings and an infinite family of nonexpansive mappings are proposed. The strong convergence of the algorithm is studied for solving the common fixed point of the hierarchical fixed point problems. Under suitable appropriate conditions , some strong convergence theorem are proved. The results improve and extend some of the latest results.关键词
全渐近非扩张映象/无限族非扩张映象/分层不动点问题/渐近非扩张映象Key words
total asymptotically non-expansive mappings/ infinite family of non-expansive mappings/ hierarchical common fixed points/ asymptotically non-expansive mappings分类
数理科学引用本文复制引用
雷贤才..全渐近非扩张映象和无限族非扩张映象的强收敛定理[J].四川师范大学学报（自然科学版）,2013,36(1):71-76,6.基金项目
四川省教育厅自然科学重点基金(11ZA222)资助项目 （11ZA222）
