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Local Lipschitz-α Mappings and Applications to Sublinear Expectations

Local Lipschitz-α Mappings and Applications to Sublinear Expectations
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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.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 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)
关键词 Local Lipschitz-α mapping random variable sublinear expectation Local Lipschitz-α mapping,random variable,sublinear expectation
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