摘要
建立了Hilbert空间中关于非扩张映射的一个新隐中点规则粘性迭代方法,证明了由此迭代所生成的序列强收敛于非扩张映射的不动点,此不动点也是某变分不等式的解.
A new viscosity technique for the implicit midpoint rule of non-expansive mappings in Hilbert spaces was es- tablished. The strong convergence of this technique was proved under certain fixed point of non-expansive mapping. This fixed point solved a certain variational inequality.
出处
《宜宾学院学报》
2015年第12期86-90,共5页
Journal of Yibin University
关键词
粘性迭代
隐中点规则
非扩张映射
度量投影
变分不等式
viscosity
implicit midpoint rule
non-expansive mapping
projection
variational inequality