摘要
首次引入了一种迭代算法,用以构造Hilbert空间中闭的拟非扩张映像的不动点.使用新的算法证明了一个强收敛定理.新算法不要求映像具有次闭性质,而且对迭代参数{αn}的限制更宽松.
A modified hybrid projection is introduced for constructing fixed points of closed and qasi-nonexpansive mappings in Hilbert spaces. With the modified iterative algorithm, a strong convergence theorem is proved. The new algorithm lies in the facts that the strong convergence result is established without making use of demi-closedness property for mapping T and the restriction on the parameter { an } is more relaxed.
出处
《河北师范大学学报（自然科学版）》
CAS
北大核心
2009年第5期579-581,592,共4页
Journal of Hebei Normal University：Natural Science
基金
国家自然科学基金(10771050)
关键词
闭拟非扩张映像
修正的杂交投影算法
HILBERT空间
强收敛
closed and quasi-nonexpansive mapping
modified hybrid projection algorithm
Hilbert space
strong convergence
