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Volumn 11, Issue 1, 2004, Pages 209-234

On the regularity of the convexification operator on a compact set

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EID: 5544311103     PISSN: 09446532     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (20)

References (13)
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    • What is the subdifferential of the closed convex hull of a function?
    • J. Benoist. J.-B. Hiriart-Urruty: What is the subdifferential of the closed convex hull of a function?, SIAM J. Math. Anal. 27 (1996) 1661-1679.
    • (1996) SIAM J. Math. Anal. , vol.27 , pp. 1661-1679
    • Benoist, J.1    Hiriart-Urruty, J.-B.2
  • 3
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    • G. Choquet: Integration and Topological Vector Spaces, Lectures on Analysis 1, W. A. Benjamin (1969).
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    • Choquet, G.1
  • 7
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    • Van Nostrand, Princeton Reprint by Springer, New York (1976)
    • J. L. Kelley, I. Namioka: Linear Topological Spaces, Van Nostrand, Princeton (1963), Reprint by Springer, New York (1976).
    • (1963) Linear Topological Spaces
    • Kelley, J.L.1    Namioka, I.2
  • 8
    • 84968505443 scopus 로고
    • Two convex counterexamples: A discontinuous envelope function and a non differentiable nearest-point mapping
    • J. B. Kruskal: Two convex counterexamples: A discontinuous envelope function and a non differentiable nearest-point mapping, Proc. Am. Math. Soc. 23 (1969) 697-703.
    • (1969) Proc. Am. Math. Soc. , vol.23 , pp. 697-703
    • Kruskal, J.B.1
  • 9
    • 7544227262 scopus 로고    scopus 로고
    • The preservation of continuity and Lipschitz continuity by optimal reward operators
    • Cahier du Laboratoire d'Econométrie de 1'Ecole Polytechnique 2002-27, to appear
    • R. Laraki, W. D. Sudderth: The preservation of continuity and Lipschitz continuity by optimal reward operators, Cahier du Laboratoire d'Econométrie de 1'Ecole Polytechnique 2002-27, (2002), Math. Oper. Res., to appear.
    • (2002) Math. Oper. Res.
    • Laraki, R.1    Sudderth, W.D.2
  • 10
    • 0036110706 scopus 로고    scopus 로고
    • The splitting game and applications
    • R. Laraki: The splitting game and applications, Int. J. Game Theory 30 (2001) 359-376.
    • (2001) Int. J. Game Theory , vol.30 , pp. 359-376
    • Laraki, R.1
  • 11
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, N.J.
    • R. T. Rockafellar: Convex Analysis, Princeton University Press, Princeton, N.J. (1970).
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 12
    • 0001829182 scopus 로고
    • On the convergence of sequences of convex sets in finite dimension
    • G. Salinetti, R. J.-B. Wets: On the convergence of sequences of convex sets in finite dimension, SIAM Review 21 (1979) 16-33.
    • (1979) SIAM Review , vol.21 , pp. 16-33
    • Salinetti, G.1    Wets, R.J.-B.2
  • 13
    • 84968468668 scopus 로고
    • A Lipschitzaan characterization of convex polyhedra
    • D. W. Walkup, R. J.-B. Wets: A Lipschitzaan characterization of convex polyhedra, Proc. Am. Math. Soc. 23 (1969) 167-173.
    • (1969) Proc. Am. Math. Soc. , vol.23 , pp. 167-173
    • Walkup, D.W.1    Wets, R.J.-B.2


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