Local Lipschitz-α Mappings and Applications to Sublinear Expectations

Local Lipschitz-α Mappings and Applications to Sublinear Expectations

The aim of this paper is to establish a series of important properties of local Lipschitz-α mappings from a subset of a normed space into a normed space. These mappings include Lipschitz operators, Lipschitz-α operators and local Lipschitz functions. Some applications to the theory of sublinear expe...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Acta mathematica Sinica. English series 2014-05, Vol.30 (5), p.844-860
Hauptverfasser: Cao, Huai Xin, Yin, Jun Cheng, Guo, Zhi Hua, Chen, Zheng Li
Format: Artikel
Sprache:eng
Schlagworte:
Functions (mathematics)
Mapping
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators
子集
应用
映射
期望
空间理论
线性
赋范空间
运营商
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The aim of this paper is to establish a series of important properties of local Lipschitz-α mappings from a subset of a normed space into a normed space. These mappings include Lipschitz operators, Lipschitz-α operators and local Lipschitz functions. Some applications to the theory of sublinear expectation spaces are given.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-014-2623-8