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Variational systems, an introduction

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1091))

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References

  • H. ATTOUCH, 1984: Variational properties of epi-convergence. Applications to limit analysis problems in mechanics and duality theory, in Multibunction and Integnands: Stochastic Analysis, Appnoximation and Optimization, ed. G. Salinetti, Springer Verlag Lecture Notes in Mathematics, Berlin.

    Google Scholar 

  • H. ATTOUCH, 1985: Vaniational convengences ton Functions and Openatons, Research Notes in Mathematics, Pitman Ltd, London (to appear).

    Google Scholar 

  • J-P. AUBIN, 1984: An introduction to viability theory, in Multitunctions and Integnands: Stochastic Analysis, Approximation and Optimization, ed. G. Salinetti, Springer Verlag Lecture Notes in Mathematics, Berlin.

    Google Scholar 

  • J-P. AUBIN and I. EKELAND, 1984: Applied Notinean Analysis, Wiley-Interscience, New-York.

    MATH  Google Scholar 

  • C. CASTAING and M. VALADIER, 1977: Convex Analysis and Measunables Multitunctions, Springer Verlag Lecture Notes in Mathematics, 580, Berlin.

    Book  Google Scholar 

  • F. CLARKE, 1983: Optimization and Nonsmooth Analysis, Wiley-Interscience, New-York.

    MATH  Google Scholar 

  • F. DE GIORGI, 1984: G-Operators, Γ-convergence and their applications, in Multitunctions and Integnands: Stochastic Analysis, Appnoximation and Optimization, ed. G. Salinetti, Springer Verlag Lecture Notes in Mathematics, Berlin.

    Google Scholar 

  • S. DOLECKI, 1983: Convergence of global minima and infima, Manuscript, Universita di Trento.

    Google Scholar 

  • E. GINER, 1983: Sous differentiabilité des fonctionelles intégrales (II), Manuscript, Univ. Toulouse.

    Google Scholar 

  • A. IOFFE, 1978: Survey of measurable selection theorems: Russian Literature supplement: SIAM J. Control and Optimization, 16, 728–123.

    Article  MathSciNet  MATH  Google Scholar 

  • J. KELLEY, 1955: Genenal Topology, van Norstrand.

    Google Scholar 

  • N. PAPAGEORGIOU, 1983: Stochastic nonsmooth analysis and optimization I and II, Manuscript, Harvard Univ.

    Google Scholar 

  • R.T. ROCKAFELLAR, 1976: Integral functionals, normal integrands and measurable selections, in Nonlinean Operatons and the Calculus or Variations, ed. L. Waelbroeck, Springer-Verlag Lecture Notes in Mathematics, 543, Berlin.

    Google Scholar 

  • R.T. ROCKAFELLAR, 1983: Generalized subgradients and mathematical programming, in Mathematical Pnognamming: The State or the Art 1982, eds. A. Bachem, M. Grötschel and B. Korte, Springer-Verlag, Berlin.

    Google Scholar 

  • R.T. ROCKAFELLAR and R.J-B. WETS, 1985: Extended Real Analysis, in preparation.

    Google Scholar 

  • G. SALINETTI and R.-J-B. WETS, 1984: Convergence of infima, especially stochastic infima, in preparation.

    Google Scholar 

  • W. VERWAT, 1982: Random upper semicontinuous functions and extremal process, manuscript, University of Nijmegen.

    Google Scholar 

  • D. WAGNER, 1977: Survey of measurable selection theorems, SIAM J. Control and Optimization, 15, 859–903.

    Article  MathSciNet  MATH  Google Scholar 

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Gabriella Salinetti

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© 1984 Springer-Verlag

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Rockafellar, R.T., Wets, R.J.B. (1984). Variational systems, an introduction. In: Salinetti, G. (eds) Multifunctions and Integrands. Lecture Notes in Mathematics, vol 1091. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0098800

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  • DOI: https://doi.org/10.1007/BFb0098800

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13882-2

  • Online ISBN: 978-3-540-39083-1

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