论文标题
平均映射的定量不一致的可行性
Quantitative inconsistent feasibility for averaged mappings
论文作者
论文摘要
Bauschke和Moursi最近获得的结果隐含地包含了以下事实:在希尔伯特空间上有限的许多平均映射的组成,具有近似固定点的固定点也具有近似固定点,因此渐近规则。使用证明挖掘技术,我们分析了他们的论点,以获得有效的渐近规则性均匀速率。
Bauschke and Moursi have recently obtained results that implicitly contain the fact that the composition of finitely many averaged mappings on a Hilbert space that have approximate fixed points also has approximate fixed points and thus is asymptotically regular. Using techniques of proof mining, we analyze their arguments to obtain effective uniform rates of asymptotic regularity.