摘要
对于 Hilbert 空间中无界集上的 Lipsohitz 单调映射方程,本文构造了一类新的大范围收敛迭代方案,它不依赖于映射的 Lipschitz 常数,并能收敛于方程最靠近任一事先指定点的解,所得结果对于伪压缩映射和线性半正定映射有直接应用。
A new class of globally convergent iterations is constructed for the equa- tions of Lipschitzian monotonic mappings on unbounded set in Hilbert space.The iterative processes don't depend upon the Lipschitzian constants of the mappings and converge to a solution which is the nearest to an arbitrarily appointed point in advance among the solutions of the equations.There results have direct ap- plications to pseudo-contractive mappings and linear semi-positive definite mappings.
出处
《西安交通大学学报》
EI
CAS
CSCD
北大核心
1989年第1期19-25,共7页
Journal of Xi'an Jiaotong University
关键词
单调映射方程
迭代法
凸集
monotonic operator
iterative method
conrex sets
