摘要
考虑了一类含有连续强伪压缩映象的粘滞迭代隐性算法.在自反的Banach空间框架下,基于迭代方法针对满足弱嵌入条件的连续伪压缩非自映象,建立了不动点序列的强收敛定理,并证明了该不动点恰为某一非线性变分不等式的唯一解.所得结果改进了Moudafi的含有压缩映象的粘滞迭代隐性算法,并把其空间框架从实Hilbert空间推广到了自反的实Banach空间.
An implicit viscosity iterative algorithm involving continuous strong psedu-contractions was considered in this paper.Strong convergence theorems of iterative sequences are established for continuous pseudocontractions which enjoy the weakly inward condition in the framework of reflexive Banach spaces based on iterative methods.It is proved that the fixed point is also a solution to some nonlinear variational inequality.The results presented in this paper improve Moudafi＇s viscosity iterative algorithm which involves contraction mappings.The framework is also extended from real Hilbert spaces to real reflexive Banach spaces.
出处
《郑州大学学报（工学版）》
CAS
北大核心
2010年第5期121-124,共4页
Journal of Zhengzhou University（Engineering Science）
