Intégration du sous-différentiel proximal: Un contre exemple

Canadian Journal of Mathematics

Volumn 50, Issue 2, 1998, Pages 242-265

  Benoist, Joël ^a  

^a UNIVERSITY OF LIMOGES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032383057     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/CJM-1998-013-0     Document Type: Article

References (11)

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2. _, Optimization and Nonsmooth Analysis. John Wiley, New York, 1983.
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4. F. H. Clarke, Yu. S. Ledyaev and P. R. Wolenski, Proximal analysis and minimization principles. J. Math. Anal. App. 196(1995), 722-735.
5. F. H. Clarke, R. J. Stern and P. R. Wolenski, Subgradient criteria for monotonicity, the Lipschitz condition, and convexity. Can. J. Math. (6) 45(1993), 1167-1183.
6. E. Jouini, A remark on Clarke's normal cone and the marginal cost pricing rule. J. Math. Econom. 17(1988), 309-315.
7. R. A. Poliquin, Integration of subdifferentials of nonconvex functions. Nonlinear Anal (4) 17(1991), 385-398.
8. R. T. Rockafellar, Convex Analysis. Princeton University Press, New Jersey, 1970.
9. _, Proximal subgradients, marginal values, and augmented lagrangians in nonconvex optimization. Math. Op. Res. 6(1981), 424-436.
10. _, The theory of subgradients and its applications; convex and non convex functions. Helderman Verlag, Berlin, 1981.
11. S. Saks, Theory of the integral. Second revised edition, Hafner Publishing Co., New York, 1937.