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Une Generalisation aux Operateurs Monotones des Theoremes de Differentiabilite d’Asplund

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Analyse Convexe et Ses Applications

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 102))

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Résumé

Soit V un espace de Banach réflexif réel, V* son dual topologique, T une application monotone de V dans V*; nous nous intéressons à l’équation (1) Tu = f, f donné dans V*.

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Bibliographie

  1. D. AMIR and J. LINDENSTRAUSS: The structure of weakly compact sets in Banach spaces, Ann. of Math. 88 (1968), 35–46.

    Article  MathSciNet  MATH  Google Scholar 

  2. E. ASPLUND: Fréchet differentiability of convex functions, Acta Math. 121 (1968), 31–47.

    Article  MathSciNet  MATH  Google Scholar 

  3. E. ASPLUND: Topics in the theory of convex functions, Theory and applica- tions of monotone operators. A. Ghizzetti ed., Oderisi (1969).

    Google Scholar 

  4. F. BROWDER: Existence theorems for non linear partial differential equations, Global Analysis, Proc. Symp. Pure Math. Vol. 16, Amer. Math. Soc. (1970), 1–60.

    Google Scholar 

  5. M. DAY: A geometric proof of Asplund’s differentiability theorem, Israel J. of Math. 13 (1972), 277–280.

    Article  Google Scholar 

  6. K. JOHN and V. ZIZLER: A renorming of dual spaces. Israel, J. of Math. 12 (1972), 331–336.

    Article  MathSciNet  MATH  Google Scholar 

  7. K. JOHN AND V. ZIZLER: A note on renorming of dual spaces. Bull. Acad. Pol. Sciences, 21, 1, (1973).

    MathSciNet  Google Scholar 

  8. M. LEDUC: Thèse, Orsay,(1970).

    Google Scholar 

  9. R. ROBERT: Points de continuité de multi-applications semi continues supérieurement, C.R. Acad. Sc. Paris t. 278, (février 1974 ).

    Google Scholar 

  10. R.T. ROCKAFELLAR: Convex Analysis. Princeton University press (1970).

    Google Scholar 

  11. R.T. ROCKAFELLAR: Local boundedness of non linear monotone operators, Mich. Math. J. 16 (1969), 397–407.

    MathSciNet  MATH  Google Scholar 

  12. S.L. TROYANSKI: On locally uniformly convex and differentiable norms in certain non-separable Banach spaces. Studia Math. 37 (1970–71), 173–180.

    Google Scholar 

  13. E. ZARANPONELLO: Dense single-valuedness of monotone operators. University of Wisconsin, M.R.C. Technical Report,(July 1972 ).

    Google Scholar 

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Authors
  1. Raoul Robert
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Editors and Affiliations

  1. Université Paris IX Dauphine Ceremade, Place du Maréchal-de-Lattre-de-Tassigny, 75775, Paris Cedex 16, France

    Jean-Pierre Aubin

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© 1974 Springer-Verlag Berlin Heidelberg

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Robert, R. (1974). Une Generalisation aux Operateurs Monotones des Theoremes de Differentiabilite d’Asplund. In: Aubin, JP. (eds) Analyse Convexe et Ses Applications. Lecture Notes in Economics and Mathematical Systems, vol 102. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-00638-2_10

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  • DOI: https://doi.org/10.1007/978-3-662-00638-2_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07015-3

  • Online ISBN: 978-3-662-00638-2

  • eBook Packages: Springer Book Archive

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