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Set-valued mapping monotonicity as characterization of D.C functions |
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| Authors: | Lafhim Lahoussine Ahmed Alaoui Elhilali N. Gadhi |
| Affiliation: | (1) Département de Mathématiques, Faculté des sciences, Université Mohamed CINQ, Rabat, Maroc;(2) Département de Mathématiques, Faculté des sciences et techniques, Université Sidi Mohamed Ben Abdellah, Fes, Maroc;(3) Department of Mathematics, Sidi Mohamed Ben Abdellah University, Dhar El Mehrez, Fes, Morocco |
| Abstract: | In this paper, using a result of Kung-Ching Chang [6], we give a characterization of locally Lipschitz functions which are differences of convex functions defined on a Banach space (not necessarily Asplund) in terms on maximal cyclically monotone set-valued mappings. A subdifferential integration of locally D.C functions. is also given. |
| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000) 46N10 26B25 54B20 |
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