论文标题
共同重新审视映射的非专业家庭
Revisiting jointly firmly nonexpansive families of mappings
论文作者
论文摘要
最近，作者与L. Leustean和A. Nicolae一起提出了共同坚定的非专业映射家庭的概念，以便以抽象的方式研究近端方法的收敛性。在这里，我们通过改善先前针对统一病例获得的收敛速度，并通过对此类家族的无穷大的渐近行为进行处理，从而进一步研究这一概念的研究。
Recently, the author, together with L. Leustean and A. Nicolae, introduced the notion of jointly firmly nonexpansive families of mappings in order to investigate in an abstract manner the convergence of proximal methods. Here, we further the study of this concept, by giving a characterization in terms of the classical resolvent identity, by improving on the rate of convergence previously obtained for the uniform case, and by giving a treatment of the asymptotic behaviour at infinity of such families.
