Local Lipschitz-α Mappings and Applications to Sublinear Expectations  

作　　者：Huai Xin CAO Jun Cheng YIN Zhi Hua GUO Zheng Li CHEN 

机构地区：[1]College of Mathematics and Information Science, Shaanxi Normal University

出　　处：《Acta Mathematica Sinica,English Series》2014年第5期844-860,共17页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant Nos.11171197,11371012);the Fundamental Research Funds for the Central Universities(Grant No.GK201301007)

摘　　要：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.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.

关 键 词：Local Lipschitz-α mapping random variable sublinear expectation 

分 类 号：O177[理学—数学]