Hilbert空间中分裂可行性问题解的存在性  

The Existence of Solutions to Split Feasibility Problems in Hilbert Spaces

作　　者：王丰辉[1] WANG Fenghui(Faculty of Mathematical Sciences,Luoyang Normal University,Luoyang,Henan,471934,P.R.China)

机构地区：[1]洛阳师范学院数学科学学院,河南洛阳471934

出　　处：《数学进展》2024年第1期215-223,共9页Advances in Mathematics（China）

基　　金：Supported by NSFC(No.11971216)。

摘　　要：通过将分裂可行性问题转化为等价的不动点方程,本文在Hilbert空间中给出了此问题解的几个特征.受Kirk不动点定理启发,本文得到了若干保证分裂可行性问题解的存在性条件.By transforming it into an equivalent fixed point equation,we present several characteristics of the solution to the split feasibility problem in Hilbert spaces.Inspired by Kirk's fixed point theorem,we obtain several sufficient conditions for the existence of solutions to the split,feasibility problem.

关 键 词：分裂可行性问题 非扩张映射 次闭原理 

分 类 号：O177.91[理学—数学]