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Metric Inequality, Subdifferential Calculus and Applications |
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| Authors: | Huynh Van Ngai Michel Thé ra |
| Affiliation: | (1) Ecole Normale Supérieure de Quinhon, Vietnam;(2) LACO, UMR 6090, Université de Limoges, 123, Avenue Albert Thomas, 87060 Limoges Cedex, France |
| 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. |
| Keywords: | limiting Fré chet subdifferential normal cone composite function Painlevé – Kuratowski convergence Asplund space metric inequality optimality condtion |
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