渐近拟非扩张非自映射的收敛定理  

Convergence theorems for asymptotically quasi-nonexpansive non-self mappings

作　　者：沈德兄 郭伟平[1] 

机构地区：[1]苏州科技学院数理学院,江苏苏州215009

出　　处：《纯粹数学与应用数学》2016年第1期100-110,共11页Pure and Applied Mathematics

基　　金：国家自然科学基金(11271282)

摘　　要：在实线性赋范空间中引入了渐近拟非扩张非自映射概念.并在Banach空间中证明了渐近拟非扩张非自映射对的强收敛定理,所得结果推广和改进了相关文献的结论.In this paper,we introduce a new two-step iterative scheme of two asymptotically quasi-nonexpansive nonself-mappings in real normed linear space and prove strong convergence theorems for the new two-step iterative scheme in Banach spaces. The obtained results in this paper improve and extend some corresponding results.

关 键 词：实BANACH空间 渐近拟非扩张映射 公共不动点 强收敛 

分 类 号：O177.91[理学—数学]