Abstract
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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Supported by National Natural Science Foundation of China (Grant Nos. 11171197, 11371012) and the Fundamental Research Funds for the Central Universities (Grant No. GK201301007)
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Cao, H.X., Yin, J.C., Guo, Z.H. et al. Local Lipschitz-α mappings and applications to sublinear expectations. Acta. Math. Sin.-English Ser. 30, 844–860 (2014). https://doi.org/10.1007/s10114-014-2623-8
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DOI: https://doi.org/10.1007/s10114-014-2623-8