非扩张映象复合的不动点：多重线性反射
Fixed points of compositions of nonexpansive mappings: finitely many linear reflectors
摘要：
非扩张映射在现代最优化和单调算子理论中起着核心作用，因为它们的不动点可以描述最优化或临界点问题的解。已知当映射足够“好”时，则组合的不动点集与各个不动点集的交集重合。在本文中，我们探讨的情况下，组成的线性反射器。我们提供了积极的结果，上界，和限制的例子。我们还讨论了欧氏平面上的经典反射体。
英文摘要：
Nonexpansive mappings play a central role in modern optimization and monotone operator theory because their fixed points can describe solutions to optimization or critical point problems. It is known that when the mappings are sufficiently "nice", then the fixed point set of the composition coincides with the intersection of the individual fixed point sets. In this paper, we explore the situation for compositions of linear reflectors. We provide positive results, upper bounds, and limiting examples. We also discuss classical reflectors in the Euclidean plane.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
