EVOLUTION FAMILIES OF NONEXPANSIVE MAPPINGS

被引：0

作者：

Benitez, Luis E. ^{[1
]}

Contreras, Manuel D. ^{[2
,3
]}

Diaz-Madrigal, Santiago ^{[2
,3
]}

Felipe, Raul ^{[4
]}

机构：

[1] Univ Antioquiais, Inst Matemat, Calle 70 52-21, Medellin 1226, Colombia

[2] Univ Seville, Dept Matemat Aplicada 2, Camino Descubrimientos S-N, Seville 41092, Spain

[3] Univ Seville, IMUS, Seville 41092, Spain

[4] Ctr Invest Matemat AC, Jalisco S-N, Guanajuato, Mexico

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2016年 / 17卷 / 08期

关键词：

Evolution families; rho-nonexpansive mappings; rho-monotone mappings; weak vector fields;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the concepts of (strong) evolution families of nonexpansive mappings in the hyperbolic metric and monotone vector fields in the unit disk. A one-to-one correspondence between these two notions is proved. In particular, this result shows that holomorphy can be replaced by nonexpansive mappings in the hyperbolic metric in one of the main results of the very recent generalized Loewner theory in the unit disk.

引用

页码：1485 / 1495

页数：11

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