摘要
在自反、严格凸、光滑Banach空间中提出了一种关于中间值意义下的拟φ-渐近非扩张映像族公共不动点的收缩投影算法,并利用新的分析技巧证明了该算法的强收敛性,所得结果改进和推广了近期相关的结果.
A new shrinking projection algorithm for an infinite countable family quasi-φ-asymptotically nonexpansive mappings in the intermediate sense in reflexive is introduced,strictly convex and smooth Banach space,and establish a new strong convergence theorem by using new analysis techniques,which improves and extends some recent relative results.
出处
《河北师范大学学报(自然科学版)》
CAS
北大核心
2011年第5期452-456,492,共6页
Journal of Hebei Normal University:Natural Science
基金
国家自然科学基金(11071053)
关键词
中间值意义
拟φ-渐近非扩张映像
收缩投影算法
广义投影算子
性质(K)
强收敛定理
the intermediate sense
quasi-φ-asymptotically nonexpansive mapping
shrinking projection algorithm
generalized projection operator
property(K)
strong convergence theorem