渐近非扩张映射的粘滞逼近方法  

Viscosity Approximation Methods for Asymptotically Nonexpansive Mappings

作　　者：闻道君[1] 邓磊[2] 

机构地区：[1]重庆工商大学数学与统计学院,重庆400067 [2]西南大学数学与统计学院,重庆400715

出　　处：《西南师范大学学报（自然科学版）》2010年第3期37-40,共4页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10771173)

摘　　要：在具有一致Gateaux可微范数的Banach空间中研究了一个逼近渐近非扩张映射不动点的粘滞迭代格式,并在一定条件下证明了粘滞迭代序列强收敛到渐近非扩张映射的某个不动点.A modified viscosity approximation scheme is proposed for approximating the fixed point of asymptotically nonexpansive mappings in a real Banach space with a uniformly Gteaux differentiable norm,which strong convergence of viscosity iterative sequence is proved under some suitable conditions.The result can be considered as an extension and improvement of the previously known results.

关 键 词：渐近非扩张映射 不动点 粘滞逼近 BANACH极限 强收敛 

分 类 号：O177.91[理学—数学]