Abstract
In this paper we establish characterizations of Asplund spaces in terms of conditions ensuring the metric inequality and intersection formulae. Then we establish chain rules for the limiting Fréchet subdifferentials. Necessary conditions for constrained optimization problems with non-Lipschitz data are derived.
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Ngai, H.V., Théra, M. Metric Inequality, Subdifferential Calculus and Applications. Set-Valued Analysis 9, 187–216 (2001). https://doi.org/10.1023/A:1011291608129
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DOI: https://doi.org/10.1023/A:1011291608129