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Integrability of subdifferentials of directionally Lipschitz functions |
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| Authors: | Lionel Thibault Nadia Zlateva |
| Institution: | Département de Mathématiques, Université Montpellier II, CC 051, Place Eugène Bataillon, 34095 Montpellier cedex 5, France ; Section of Operations Research, Department of Mathematics, Sofia University, 5, James Bourchier Blvd., 1164 Sofia, Bulgaria --- and --- Département de Mathématiques, Université Montpellier II, CC 051, Place Eugène Bataillon, 34095 Montpellier cedex 5, France |
| Abstract: | Using a quantitative version of the subdifferential characterization of directionally Lipschitz functions, we study the integrability of subdifferentials of such functions over arbitrary Banach space. |
| Keywords: | Subdifferential integrability directionally Lipschitz function |
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