| Local Lipschitz-α Mappings and Applications to Sublinear Expectations |
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| 基金项目： | Supported by National Natural Science Foundation of China(Grant Nos.11171197,11371012);the Fundamental Research Funds for the Central Universities(Grant No.GK201301007) |
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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.
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| 关 键 词： | 映射 期望 线性 应用 赋范空间 空间理论 运营商 子集 |
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